Question

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).

A. 104
B. −246
C. 146
D. 250

Answer 1

104

Explanation:

104's correct! Just took the test

Answer 2

Option A is correct

The value of (h ∘ g)(−5) is, 104

Explanation:

Given the functions:

g(x) = 2x

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

We have to find (h ∘ g)(−5).

`(h o g)(-5) = h(g(-5))` ....[1]

At x = -5

g(-5) = 2(-5) = -10

then

Substitute the g(-5) in [1] we have;

`(h o g)(-5) = h(-10)`

⇒
`(h o g)(-5) = (-10)^2+4 = 100+4 = 104`

⇒
`(h o g)(-5) = 104`

therefore, the value of (h ∘ g)(−5) is, 104