Question

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

Answer 1

Answer:

Option A is correct

The value of (h ∘ g)(−5) is, 104

Step-by-step 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