Question

I was wondering if someone can please help me I keep getting the wrong answer and I was just wondering if someone could explain it and help me

Answer 1

`h(g(-5)) = 127`

Step-by-step explanation:

Given

`h(x) = 2x^2 - 1`

`g(x) = x - 3`

Required

Find
`h(g(-5))`

First, we need to solve for
`g(-5)`

`g(x) = x - 3`

Substitute -5 for x

`g(-5) = -5 - 3`

`g(-5) = -8`

Substitute -8 for g(-5) in
`h(g(-5))`

`h(g(-5))` =
`h(-8)`

Given that:

`h(x) = 2x^2 - 1`

Substitute -8 for x

`h(-8) = 2(-8)^2 - 1`

`h(-8) = 2*64 - 1`

`h(-8) = 128 - 1`

`h(-8) = 127`

Hence:

`h(g(-5)) = 127`