Question

If g(x) = -3x – 4 and h(x) = –22 + x, find g(h (8)).

Answer 1

g(h(8)) = 38

Explanation:

Hello!

Work from inside to out. First find h(8):

• h(x) = -22 + x
• h(8) = -22 + 8
• h(8) = -14

Now, plug in -14 for g(x). Remember, we are working inside to out.

• g(x) = -3x - 4
• g(-14) = -3(-14) - 4
• g(-14) = 42 - 4
• g(-14) = 38

So, g(h(8)) is 38.