Question

In this lesson, you worked with composite functions. Now make up any two functions f(x) and g(x), defined in terms of the variable x. For example, you might define f(x) = x – 15 and g(x) = 3x2. (Use different examples.) Then provide the compositions of the two functions f(g(x)) and g(f(x)). Which composite function has the greatest value for x = 10? Remember no right answer exists. Your answer completely depends on the functions you select.

Answer 1

There are g(f(x)) and f(g(x))
do them then evaluate

lets say
f(x)=3x
g(x)=9x^3-4

g(f(x))=9(3x)^3-4=243x^3-4
f(g(x))=3(9x^3-4)=27x^3-12
we can see that g(f(x)) with yield a higher value for x=10