Question

If F(x) = x+ 6 and G(x) = x^4, what is G(F(x))?

O
A. A +x+6
B. (X+6)^4
C.x^4+6
D.x^4(x+6)

Answer 1

B.
`(x + 6)^(4)`

Step-by-step explanation

The given functions are:

f(x)=x+6

and

`g(x)= {x}^(4)`

We want to find

`g(f(x)) = g(x + 6)`

This is the composition of functions, where one function becomes the input of the second function.

We plug in x+6 into the expression for g(x) to obtain,

`g(f(x)) = (x + 6)^(4)`

The correct answer is B.