Question

If 𝑓⁡(𝑥)=3⁢𝑥,𝑔⁡(𝑥)=𝑥+4, and ℎ⁡(𝑥)=𝑥2−1, find 𝑓⁡[ℎ⁡(−2)].

Answer 1

First compute h(-2): h(-2) = (-2)^2 − 1 = 4 − 1 = 3.
Then f(h(-2)) = f(3). Since f(x) = 3x, f(3) = 3·3 = 9.

Answer: 9.