Question

Please help!!!
Composition of functions~

Answer 1

`g(h(-8)) = 119`

Hence, option B) is true.

Explanation:

Given

g(x) = 2x-5

h(x) = x² - 2

To determine

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

In order to determine g(h(-8)), first we need to determine h(-8), so

substituting x = -8 in h(x) = x² - 2

h(x) = x² - 2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so we can write

`g(h(-8)) = g(62)`

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v

g(x) = 2x-5

g(62) = 2(62) - 5

g(62) = 124 - 5

g(62) = 119

so,

`g(h(-8)) = g(62)=119`

Therefore,

`g(h(-8)) = 119`

Hence, option B) is true.