Find the inverse of each function. Is the inverse a function? f(x)=4 x-1

Answers

Answer 1

We need to know about inverse of a function to solve this problem. The inverse of the given function is (x+1)/4.

The inverse of a function is a function for whom the range of the function becomes it's domain. The domain of a function is the set of values that the function can take as input. The range of a function is the set of values that the function can have as possible output. The inverse of a function is a function that finds the pre-image of it's function. If the function is in terms of x, then the inverse of the function will be in terms of y. The inverse of a function can be found by making y the independant variable and expressing x in terms of y.

f(x)=4x-1

write this function in terms of y and wquating to x

x=4y-1

x+1=4y

y=(x+1)/4

[tex]f^{-1} (x)[/tex]=(x+1)/4

Therefore we found the inverse of the function to be (x+1)/4.

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Related Questions

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.
How can you decompose the composite figure to determine its area?

as a circle, three rectangles, and a triangle
as a circle, a trapezoid, and four triangles
as a semicircle, three rectangles, and a square
as a semicircle, a trapezoid, and two rectangles

Answers

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two rectangles, a trapezoid, and a semicircle make form a composite figure.

The diagram of the composite figure is given below.

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

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Answer:

D

Step-by-step explanation:

13 divided by 10 5/6 in fraction

Answers

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Hope this helps. Please mark me Brainliest!

Multiply. HELP

3/10⋅4/9

Responses

2/15

7/19

27/40

I don't know.

Answers

Answer: 2/15

Explanation:

Cancel out the greatest common factors (3 &2)
1. 2
- X -
5. 3.

Multiply the fractions across so 1 X 2 =2 and 5 X 3= 15

well i want to know how to spell the word 90

Answers

Answer: Ninty

Step-by-step explanation:

Answer: ninety

step by step explanation:

As a math citizen, why is it important to be able to interpret and analyze graphs?​

Answers

Data collection, analysis, and graphing are essential in the workplace. Many industries, manufacturing in particular, now use statistical control processes to monitor their processes in order to ensure quality products. Often the front line employee is required to collect the data used for charting the manufacturing process; therefore, employees at all levels should be knowledgeable about and comfortable with using a variety of charts. As more and more quality teams, consisting of a variety of employees, are charged with the task of ensuring quality products, employees will need to have an understanding of probability and sampling.

I am stuck. The questions are numbered so please type the number of the question by the answer. Please and thank you.

Answers

Answer:

#1 = -1/3

2# = -6/5

3# = 2/9

4# = 2

#5 = -2/3

Step-by-step explanation:

The slope formula is (y2 - y1) / x2 - x1. With (x1, x2) and (x2, y2) be points on the line.

Please HELP!
Write an algebraic expression for this word phrase:

Seven less than the product of five and a number.

I know that you have to do (5xn) but how do you do seven less?

Answers

Answer:

5n - 7

Step-by-step explanation:

The product of five and a number is 5n

Seven less than the product of five and a number means 5n - 7

A grocery store sells a bag of 8 oranges for $3.12. If Boubacar spent $2.34 on oranges, how many did he buy

Answers

Answer:

Step-by-step explanation:

Answer = 6 oranges

.39 x 6 = $2.34

The number of oranges Boubacar buys is 6 oranges

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of oranges a grocery store sells at $ 3.12 = 8 oranges

The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12

The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12

Now ,

The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar

The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34

So ,

The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34

                                                                           = 8 x 0.75

                                                                           = 6 oranges

Hence , the number of oranges Boubacar buys is 6 oranges


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Write
15
3
2
in surd form.

Answers

The given expression written in surd form is 15√15

From the question, we are to write the given expression in surd form

The given expression is

[tex]15^{3/2}[/tex]

To write the expression is surd form, we will apply one of the laws of indices.

From one of the laws of indices, we have that

[tex]x^{y/n} = \sqrt[n]{x^{y} }[/tex]

Then,

We can write [tex]15^{3/2}[/tex] as

[tex]15^{3/2} = \sqrt[2]{15^{3} }[/tex]

[tex]= \sqrt[]{15^{3} }[/tex]

Simplifying

[tex]\sqrt{3375}[/tex]

Further simplification

[tex]\sqrt{225 \times 15}[/tex]

= [tex]\sqrt{225} \times \sqrt{15}[/tex]

= [tex]15 \times \sqrt{15}[/tex]

= [tex]15 \sqrt{15}[/tex]

Hence, the given expression written in surd form is 15√15

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What do I do for the final mark?!?!!?

Answers

, The graphical solution of the simultaneous equation is

x = 3 and y = 3.

What are simultaneous equations?

Simultaneous equations are pairs of equations that contain two unknowns.

How to solve simultaneous equations?

Simultaneous equations are solved by any three (3) of the following methods.

Substiution method, Elimination method and Graphical method

How to solve the given simultaneous equations by graphical methods?

Given the simultaneous equations

x + y = 6 and y = x

We first confirm the solution by using the substitution method.

Substiutitng y = x into the first equation, we have

x + y = 6

x + x = 6

2x = 6

x = 6/2

x = 3

Since y = x. So, y = 3.

So, the solution is x = 3 and y = 3.

So, for a graphical solution, plotting the graph of

y = x and x + y = 6 on the x and y axis, their point of intersection is at the point (3, 3)

So, the graphical solution of the simultaneous equation is

x = 3 and y = 3.

This is seen in the intersection on the graph attached.

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PLEASE HELP ME
look at the pic down below

Answers

Answer:  (1) Deena and Eduardo, (2) (A) or cube root of 343

Step-by-step explanation:

Number 1 : Deena and Eduardo are correct,

16 x 16 = 256

4 x 4 x 4 = 64

Number 2 : (a) the cube  root. of 343 will give Patel the correct answer,

h^3 = 343

cube root of both sides

so, h. = cube root of 343

Find the distance between C & D.
C = (8, -3) and D = (-9, -6)
Round to the nearest tenth.

Answers

Answer: 17.3

Step-by-step explanation:

pls help i really need it i beg

Answers

The first and third picture are the same.

1. They have 13/12 ft of lumber

2. 3/7

3. 13/12

4. It took Tim 1/4 longer to run the sprint

Using Company A's calling plan, the cost of an overseas phone call is a $0.95 connection fee plus 18 cents per minute. If the total cost of the call is $2.75, how long is the phone call?

Answers

The total duration of the phone call was 10 minutes.

Given that, by using Company A's calling plan, the cost of an overseas phone call is a $0.95 connection fee plus 18 cents per minute. If the total cost of the call is $2.75 and we have to calculate the time how long was the phone call.

Let the number of minutes a phone call held be x.

Now, we will be representing the above given information in terms of linear equation and then solve for the value of x which will give us the number of minutes the phone call held.

Total cost = $0.95 + $0.18x

$2.75 = $0.95 + $0.18x

2.75 = 0.95 + 0.18x

2.75 - 0.95 = 0.18x

1.8 = 0.18x

1.8/0.18 = x

10 = x

Therefore, the call will go 10 minutes long.

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explain why when you divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Answers

because the relationship is swapped.

2. The official Olympic swimming pool measures about 50 m x 25 m x 2.5 m (LWH). If a
box measuring 50cm x 70cm x 25cm (LWH) can hold 315 tennis balls, then what would
be a reasonable estimate for a number of tennis balls that can fit in the swimming pool?

Answers

Answer:

the answer isssssssssssssssssss

describe number patterns: 1, -4, 9, 16

Answers

Answer: least to greatest is -4,1,9,16

greatest to least is 16,9,1,-4

Step-by-step explanation: it's common thinking to me

HELP!!! There is a photo please quickly!!

Answers

Answer:

∆y = 9

∆x = 6

Slope = 3/2 or 1.5

It looks like you erased it, but you had the answer correct on your paper.

Step-by-step explanation:

NEED CORRECT ANSWER RN PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty

Answers

The answer is C, I did the math.

If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was

Answers

Answer:13.33333333

Step-by-step explanation:All you have to do is 5 divided by 1.5 times 4. Your welcome random human being (or alien)

determine whether descriptive or inferential statistics were used in the statement. 67% of cell phone users check their phone even though it is not ringing or vibrating. (source: pew research center)

Answers

Inferential Statistics

Inferential Statistics is the part of statistical analysis that helps you to determine or predict further steps from the data studied according to Statistical methods. It is helpful in understanding people's perspectives or analyzing data from the samples obtained from it. It can be defined as the analytical tool used to draw conclusions about a population by analyzing random samples.

Descriptive Statistics are used to describe the data and make generalizations about the studies. It is used the define the characteristics of the data obtained.

In the given situation, the statistical analysis is done and it has been inferred from the studies that 67% of people check their cell phone even when it is not ringing or vibrating.

Hence, It is a case of Inferential Statistics.

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The name of the figure below is ___ ___.

[ Brainliest + easy points ]

Answers

Answer:  A line or GH

Step-by-step explanation:

Answer: ray

Step-by-step explanation:

converting 0.000098 into scientific notation what is the missing power of 10

Answers

Answer:

9.8E^-5 (or 9.8*10^-5)

Step-by-step explanation:

0.000098 converted to scientific notation is either 9.8E^-5 or 9.8*10^-5 as they are the same, just different ways of writing it. To get this, you just count the spaces away from the decimal point the number is.

ex.) 0.98 = 9.8E^-1 as it just has to move 1 decimal

980 = 9.8E^1 as it has to move 1 decimal to the positive side

and so on.

The expression 53(1+x) represents the total cost of a meal including the tip.

Answers

Answer:

53 + 53x

Step-by-step explanation:

Multiply each term in the parentheses by 53 and you get 53 + 53x

I hope that helps!!


Solve by factoring. Check your answers. x²=-x+6

Answers

The factoring of the expression x²=-x+6 is (x-2)(x+3)

By ordering the values, we get:

x² + x - 6 = 0

To solve this exercise, we have to follow the rules of factoring:

1. Looking for the a and b number that state the following equations:

a + b = 1a * b = - 6

Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.  

The number could be:

a = -2

b = 3

Confirming:

a + b = -2 + 3 = 1

a * b = (-2) * 3 = - 6

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x-2)(x+3)

What is factoring?

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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What are the answers and how do you write it out

Answers

Just use a calculator.

First substitute in the numbers and make sure to use ( ) when plugging in negative values. For example, the first one says n=4, you can substitute n from the expression to 4. So n^2 + 3n + 8 will turn into 4^2 + 3(4) + 8 which is 16 + 12 + 8 = 36. You can do this with the other questions.

Number 10 is -213.

50pts to whoever can solve this correctly

Answers

Answer:

b^2 - 4ac ==> what's inside the square root

The answer is the 2nd option

Step-by-step explanation:

b^2 - 4ac represents the number of roots in the quadratic equation. If

b^2 - 4ac>0, then there are 2 roots in the quadratic equation. If

b^2 - 4ac=0, then there is only 1 root. If b^2 - 4ac<0, then the square root of b^2 - 4ac would be invalid since the square root of a negative number has no real solution. Hence, if b^2 - 4ac<0, then there are no roots.

Answer:

The answer should be option B. b^2-4ac

Step-by-step explanation:

...

One less than four times a number is 11.

(Could you also help me solve the question too?)

Answers

Answer:

3

Step-by-step explanation:

Let's put that number as x.

It says that one minus 4 times x is 11.

So the equation is 4x - 1 = 11.

Add one on both sides to get 4x = 12.

Divide by four on both sides to get x = 3.

Since x is what we are looking for, the answer is 3!

(Hope this helps!)

The equation for the problem would look like so:

4n - 1 = 11

This can be solved through steps! Given the numbers, we can set up an equation:

4n - 1 + 1 = 11 + 1

4n = 12

4n / 4 = n

12 / 4 = 3

n = 3


Divide. Rationalize all denominators. ∛6 x² y⁴ / 2∛5 x⁷y

Answers

The value of the expression [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] after rationalizing the denominator is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

Now, let [tex]a=\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

[tex]a=\frac{(x^{2}y)(y^{3})}{2\sqrt[3]{5} (x^{2}y)(x^{5})}[/tex]

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by ( ∛5 )².

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} } \times \frac{(\sqrt[3]{5})^{2}}{(\sqrt[3]{5})^{2}}[/tex]

[tex]a=\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex]

The value of the expression when rationalized [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

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First answer gets brainliest!!!!!!!!!!!!!!!!!!!!

Answers

The following relationships between linear equations are shown below:

12 - (1 / 2) · r → [13 - (3 / 2) · r] -  (1 - r) r - 13 / 6 → (7 · r - 3 / 2) - (2 / 3 + 6 · r) 13 · r + 20 → (6 · r + 7) + (13 + 7 · r) - 12 + r → (- 8 - r) + (2 · r - 4)

How to match an expression with its simplified form

In this problem we find four cases of linear equations whose relationship with simplified forms, that is, linear equations of the a · r + b, where a, b are constants, must be found. Each relationship can be determined by using algebra properties. Now we proceed to present the conclusion for each case:

Choice A

(6 · r + 7) + (13 + 7 · r)

(6 · r + 7 · r) + (7 + 13)

(6 + 7) · r + 20

13 · r + 20

Choice B

[13 - (3 / 2) · r] -  (1 - r)

[13 - (3 / 2) · r] + (- 1 + r)

[- (3 / 2) · r + r] + (13 - 1)

[- (3 / 2) + 1] · r + 12

(- 1 / 2) · r + 12

12 - (1 / 2) · r

Choice C

(- 8 - r) + (2 · r - 4)

(- r + 2 · r) + (- 8 - 4)

(- 1 + 2) · r - 12

r - 12

- 12 + r

Choice D

(7 · r - 3 / 2) - (2 / 3 + 6 · r)

(7 · r - 3 / 2) + (- 2 / 3 - 6 · r)

(7 · r - 6 · r) + (- 3 / 2 - 2 / 3)

r + [- (9 + 4)] / 6

r + [- 13] / 6

r - 13 / 6

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