Question

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2)

Answer 1

`(h(g))(-2)=-32`

Explanation:

Evaluate h ⋅ g

Replace the function designators in h ⋅ g with the actual functions.

`(h(g))(-2)=(x^(2) +4)(2x)`

`=2x^(2)x+8x`

Multiply
`x^(2)` by x by adding the exponents.

`=2x^(3)+8x`

Evaluate h ⋅ g at −2.

`=2(-2)^(3)+8(-2)`

Simplify

`=-16-16`

subtract 16 from -16

`(h(g))(-2)=-32`