Question

If F(x)=x-5 and G(x)=x^2, what is F(F(x))?

Answer 1

(A)
`G(F(x))=(x-5)^2`

Explanation:

Given: It is given that
`F(x)=x-5` and
`G(x)=x^2`.

To find:
`G(F(x))`

Solution:

It is given that
`F(x)=x-5` and
`G(x)=x^2`, then
`G(F(x))` is written as:

`G(F(x))=G(x-5)`

⇒
`G(F(x))=(x-5)^2`

Thus, it matches with the option A of the given options.

Answer 2

F(F(x)) = (x -5) -5 = x -10

G(F(x)) = (x -5)² . . . . . . . matches selection A.