Question

Evaluate h(3), where h = g compose f.
f(x) = cubert.(x^2 − 9) g(x) = 8x^3 + 9

Answer 1

g(x) = 8x³+9
f(x) = (x²-9)^(1/3)

h(x)
= g o f
= g(f(x))
= g((x²-9)^(1/3)
= 8((x²-9)^(1/3))³+9
= 8(x²-9)+9

h(3)
= 8(3²-9)+9
= 8(0)+9
= 9

Answer 2

[CUBERT(2x + 9)]=3