Find f(g(x)) f(x)=x^3-x g(x)=2x-2

Question

Working on math homework and needed help because I got stumped, my teacher is currently not accepting emails.

Answer 1

Sometimes it becomes clearer if we use a different variable name for f:

f(u) = u³ - u

In that equation replace all occurrences of "u" with "g(x)"

f(g(x)) = (g(x))³ - g(x) = (2x-2)³ - (2x-2)

You can rewrite that expression in a different format, if so desired.