Question

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

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

Answer:

Option C, 20 is the answer.

Step-by-step 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.