Question

10. If F(x) is the function f(g(h(x))) and F(x) = (4+3sqrt x)^9 , list the functions for
each of the following: f(x), g(x) and h(x). Specify the domain and the range for F(x).

Answer 1

so we have to split F(x) into 3 functions. i guess we can do it this way:
h(x) = sqrt(x)
g(x) = 4+3x
f(x) = x^9

so f(g(h(x))) = f(g(sqrt(x))) = f(4+3sqrt(x)) = (4+3sqrt(x))^9 = F(x)
clear?

Answer 2

Thank you that was very clear!

Answer 3

:)