Question

Use the functions to determine the value of each composite function algebraically.

f(x) = 2x2
g(x) = 3x - 2
h(x) = 3 - 4x
Find g(h(4)).

A-41
B-47
C=41
D=47

Answer 1

C

Explanation:

To evaluate g(h(4)), evaluate h(4) then use the value obtained to evaluate g(x)

h(4)

= 3 - 4(4) = 3 - 16 = - 13 , then

g(- 13)

= 3(- 13) - 2

= - 39 - 2

= - 41 → C