Composition of Functions

Question 1

Another way to write g(h(x)) is .

Revolt · Accepted Answer

(gOh)(x)

Question 2

Which function do you evaluate first in g(f(x))?

Revolt · Accepted Answer

f(x)

Question 3

Composition of the functions is commutative.

Revolt · Accepted Answer

sometimes

Question 4

Question 6

Revolt · Accepted Answer

h(f(x)) = 2x - 11

Question 5

Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.

Revolt · Accepted Answer

C(P(x)) = 0.9x – 150

Question 6

Let f = {(–2, 4), (–1, 2), (0, 0), (1, –2), (2, –5)}.Let g = {(–3, 3), (–1, 1), (0, –3), (1, –4), (3, –6)}.What is g(f(2))?

Revolt · Accepted Answer

The composition is undefined.

Question 7

Question 10

Revolt · Accepted Answer

f(h(x)) = 2x - 4

Question 8

What did you include in your answer?

Revolt · Accepted Answer

You must evaluate the function f first.; Division by 0 is undefined.; The composition cannot be evaluated.

Question 9

g(f(4)) =

Revolt · Accepted Answer

9

Question 10

f(g(4)) =

Revolt · Accepted Answer

9

Composition of Functions Answers