Find f(x) and g(x) so that the function can be described as y = f(g(x))

Question

edit:

I forgot to add the following info;

y = (10) / ( √(2x + 9)

a.) f(x) = 10 , g(x) = √(2x + 9)

b.) f(x) = 10 / √(x) , g(x) = 2x + 9

c.) f(x) = 10 / x , g(x) = 2x + 9

d.) f(x) = √(2x + 9) , g(x) = 10

Answer 1

This appears to be a general question asking for a specific example. So,

let f(x) = x + 1 and g(x) = x²

A function y, called a composite function of f(x) and g(x) = f ο g = f(g(x))

For this example, f(g(x)) = x² + 1