Let g left-parenthesis x right-parenthesis equals 2 x and h left-parenthesis x right-parenthesis equals x squared plus 4. Find the value.left-parenthesis h circle g right-parenthesis left-parenthesis a right-parenthesis(1 point)

Question

Responses

4 a squared plus a
- image with description: 4 a squared plus a - - no response given

2 a cubed plus 8
- image with description: 2 a cubed plus 8 - - incorrect

4 a squared plus 8 a
- image with description: 4 a squared plus 8 a - - no response given

4 a squared plus 4

Answer 1

To find the value of h∘g(a), we need to substitute g(a) into the function h.

Since g(x) = 2x, we have g(a) = 2a.

Now we can substitute 2a into h(x) = x^2 + 4:

h∘g(a) = (2a)^2 + 4
= 4a^2 + 4.

Therefore, the value of h∘g(a) is 4a^2 + 4.