Question

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?

(5 – 7)2
(5)2 – 7
(5)2(5 – 7)
(5 – 7)x2

Answer 1

Option A.

Explanation:

The given question is incomplete. Let as consider we need to find
`(g\circ h)(5)`

The given functions are

`h(x)=x-7`

`g(x)=x^2`

We need to find the expression for
`(g\circ h)(5)`.

`(g\circ h)(5)=g(h(5))`

`(g\circ h)(5)=g(5-7)`
`[\because h(x)=x-7]`

`(g\circ h)(5)=(5-7)^2`
`[\because g(x)=x^2]`

Therefore, the correct option is A.