Question

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (gxh)(5)

Answer 1

We want g(h(5)).

First find h(5).

h(5) = 5 - 7

h(5) = -2

We now find g(-2).

g(x) = x^2

g(- 2) = (-2)^2

g(-2) = 4

In conclusion, g(h(5)) = 4.

Answer 2

`(g* h)(5)=-50`

Explanation:

Given : If
`h(x)=x-7` and
`g(x)=x^2`

To find : Which expression is equivalent to
`(g* h)(5)`

Solution :

If
`h(x)=x-7` and
`g(x)=x^2`

`(g* h)(x)=g(x)* h(x)`

Substitute the values,

`(g* h)(x)=x^2* (x-7)`

`(g* h)(x)=x^3-7x^2`

Substitute x=5,

`(g* h)(5)=5^3-7(5)^2`

`(g* h)(5)=125-7(25)`

`(g* h)(5)=125-175`

`(g* h)(5)=-50`

Therefore,
`(g* h)(5)=-50`