Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider functions f and g. Evaluate the function composition.

Type The Correct Answer In The Box. Use Numerals Instead Of Words. If Necessary, Use / For The Fraction

Answers

Answer 1

Step-by-step explanation:

(f.g)(_1)=f(6)

=8/6+2

=8/8

=1

Answer 2

The value of (f o g)(-1) is 1 if the function f(x) =  8/(x + 2) and g(x) = 4x² + 2 the answer is 1.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Two functions:

f(x) =  8/(x + 2)

g(x) = 4x² + 2

g(-1) = 4(-1)² + 2

g(-1) = 4 + 2

g(-1) = 6

f(g(-1)) = 8/(x + 2)

f(g(-1)) = 8/(6 + 2)

f(g(-1)) = 8/8

f(g(-1)) = 1

Thus, the value of (f o g)(-1) is 1 if the function f(x) =  8/(x + 2) and g(x) = 4x² + 2 the answer is 1.

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Related Questions

(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the percent rate of change.

Here is how we will do this problem:

First, Set up a ratio:

Change in the quantity [15 - 57]

-------------------------------------

Original quantity [15]

57 - 15 = 42

Next, we will divide. the ratio.

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

Convert the fraction to a decimal.

Fraction - 42/15

Decimal - 2.8

Make the decimal to a percent.

Decimal - 2.8

Percent - 28%

Add a zero to the 28.

Our answer is 280%

Answer:

14 packs per hour

Step-by-step explanation:

2pm ⇒ sold 15 packs  5pm ⇒ sold 57 packs

Average rate of change = change in sale/ change in time

(57 - 15) / (5 - 2) = 42/3 = 14 packs per hour


Which equation best represents the constant rate of change shown in the pattern between the
figure number, f, and the number of squares, s?

Answers

Answer:

. s = 3f   the answer is G

What is the missing angle? *

PLS I NEED HELP DUE IN 10 MINS

Answers

Answer:

80

Step-by-step explanation:

a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80

how to write this numbers in word 89.04​

Answers

Answer:

eighty-nine point zero four

Step-by-step explanation:

Answer:

u mean 89.04 = eighty-nine point zero four?

Step-by-step explanation:

10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.

Answers

-28x-11

Step-by-step explanation:

10x-38x=-28x

+36-47=-11

so the answer is -28x-11

I need this asap

What is the slope of this graph?

A: 3

B: - 1/3

C: 1/3

D: -3

Answers

Answer:

d, -3

Step-by-step explanation:

??????!?????????????????????!?!

Answers

Step-by-step explanation:

if the area of a box is 1 cm^2

then area of triangle is6 cm square

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

What are the two methods of finding unit rate

Answers

Answer:

The Packing Cube method and something else I cant remember it.

Step-by-step explanation:

???? If you know it, put it down below :)) thanks!

Answers

Answer:

66

Step-by-step explanation:

What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Solve the equation. - 13 = 5+X​

Answers

Answer:

-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18

Massimo has $57 in his savings account. Every time he rides the bus he spends $3. Write an equation that Massimo
can use to see how many times he can ride the bus.

Answers

Step-by-step explanation:

I think is 19 because it say that he spends

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes

Answers

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

B

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2  = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

Please Help Me I will give you 100 Points

Answers

Answer:

twoendndbdsjwu

Step-by-step explanation:

Answer:

a. x represents the 1$ rides and y represents the 2$ rides.

b. they represent the rides that she has taken.

c. (4, 11) or  x = 4 and y = 11

Step-by-step explanation:

Riding an elevator down 3 floors

Answers

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

4x = 7 [x3] help meh

Answers

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

solve for w and simplify the answer

Answers

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

which number is irrational?

Answers

Answer: pie, the last one

Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answers

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

If f(x) = (2x + 1)2 – 3 and g(x) = 2(2x2 + 3), which statement is true?
A. f(-5) = g(4)
B. f(3) = g(0)
C. f(1) = g(1)
D. f(-3) = g(-2)

Answers

Answer:

d

Step-by-step explanation:

becasuse when you  multiply all that stuff since x is the is y fancy way o f saying

From the calculations, we can see that the true statement is  f(-3) = g(-2): Option D is correct.

Given the following functions

f(x) = (2x + 1)²– 3 and g(x) = 2(2x² + 3),

According to the last option.

f(-3) = (2(-3) + 1)²– 3

f(-3) = (-6+1)² - 3

f(-3) = (-5)² - 3

f(-3) = 25 - 3

f(-3) = 22

For g(-2)

g(-2) = 2(2x² + 3),

g(-2) = 2(2(-2)² +3)

g(-2) = 2(8+3)

g(-2) = 2(11)

g(-2) = 22

Hence from the calculations, we can see that the true statement is  f(-3) = g(-2)

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an equation of the line that passes through (0, 5) and (−1.5, 1).

Answers

y = (8/3)x + 5

Is this what your asking for right?

Answer:

The answer is y=8/3x+5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-5/(-1.5)-0

m=-4/-1.5

m=8/3

y-y=m(x-x1)

y-5=8/3(x-0)

y-5=8/3x-0

+5 +5

y=8/3x+5

find H.C.F of 2x+4 and x^2-4​

Answers

Answer:

(x+2)

Step-by-step explanation:

(2x+4) = 2(x+2)

x^2-4 = (x+2)(x-2)

H.C.F = (x+2)

Hope this helped!

Factor each expression separately.

2x + 4 becomes 2(x + 2).

x^2 - 4 becomes (x - 2)(x + 2).

The highest common factor is (x + 2).

Which storm is likely to cause quick destruction along a narrow path?

hurricane

thunderstorm

tornado

Answers

Answer:

tornado bc they are narrow and can cause great destruction :) hope I helped !

A tornado is the storm that is likely to cause quick destruction along a narrow path.

What is storm?

A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.

Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.

They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.

While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.

Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.

Hence,  tornado is the storm that is likely to cause quick destruction along a narrow path.

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Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?

Answers

Answer:

the first graph is the answer

Step-by-step explanation:

A!!!

Answer:

A

Step-by-step explanation:

Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5

Answers

Answer:

2x + y = 5

Step-by-step explanation:

Standard form is:

ax + by = c

Given

y = -2x + 5

Converting to standard form

y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5

Correct option is the first one

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