Question

What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
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Answer 1

D. 31

Explanation:

Given:

`f(x) = 4x^3 - 10`

`g(x) = (3x - 4)/(2)`

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into
`f(x) = 4x^3 - 10`.

`f(2) = 4(2)^3 - 10`

`f(2) = 4*8 - 10 = 32 - 10`

`f(2) = 22`

Next, find g(f(2)).

`g(f(x)) = (3(22) - 4)/(2)`

`g(f(x)) = (66 - 4)/(2)`

`g(f(x)) = (62)/(2)`

`g(f(x)) = (62)/(2)`

`g(f(x)) = 31`