Question

Find two different functions f and g such that f(g(x))=g(f(x))

Answer 1

monomials might be of use here

Answer 2

Any function and its inverse function will work here.

Answer 3

so would f(x)=3+x and g(x)=4+x work?

Answer 4

@JesPar, do you know how to find the inverse of something like

\(f(x) = \dfrac{2x + 5}{7}\)

Answer 5

3 + (4+x) = 4 + (3+x)

so yes, that works

Answer 6

my thought was like f=x^n g=x