Question

G(x) = 15 - 4x

3
h(x) = x+8
Write g(h(x)) as an expression in terms of x.
g(h(x)) =

Answer 1

`g(h(x))=−6x−17</p><p>`

Explanation:

given:

`g(x) = 15 - 4x \\ h(x) = (3)/(2 ) x + 8`

To find g(h(x)) substitute h(x) instead of every x in g(x)

therefore:

`g(h(x)) = 15 - 4( (3)/(2) x + 8) \\`

simplify

`g(h(x)) = 15 - 6x - 32 \\ g(h(x)) = - 6x - 17`