Question

Please help!!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answer 1

g(h(-8)) = 119

Explanation:

Given

• g(x)=2x-5

• h(x)=x²-2

To determine

• g(h(-8)) = ?

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

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

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

now substituting x = 62 in 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