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)
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
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.