Question

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

A. −12



B. −16



C. 20



D. 16

Answer 1

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

A. −12

the corrects answer is B. −16

C. 20

D. 16

Answer 2

Option C, 20 is the answer.

Explanation:

Let g(x) = 2x and h(x) = x² + 4

We have to evaluate (h ο g) ( -2 )

Since ( h ο g )x = h [ g(x) ]

= ( 2x)² + 4

= 4x² + 4

( h ο g ) ( -2 ) = 4 ( -2 )² + 4

= 4 × 4 + 4

= 16 + 4

= 20

Option C, 20 will be the answer.