Question

Which expression represents the composition f(g(h(x))) for the functions below?

f(x) = 2x + 1
g(x) = 4x2
h(x) = x2

Answer 1

8x^4 + 1.

Explanation:

g(h(x)) = 4(x^2)^2

= 4x^4

f(g(h(x)))

= 2*(4x^4) + 1

= 8x^4 + 1.