If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?

Please, use "^" to denote exponentiation:

If f(x) = x^2 and g(x) = x - 3, then f(g(x)) = ?

To answer this question, replace (x) in f(x) = x^2 with g(x) = x - 3.  Then

f(g(x)) = (x-3)^2 - 3, or    x^2 - 6x + 9 - 3, or    f(g(x))= x^2 - 6x + 6 (answer)