Is ff(x) the same as f^2(x)

Answer 1

Jake, the answer is No!

f(f(x)) means replace each x in f(x) by the entire function f(x).

For example, if f(x) = x³ + 13x + 9, then f(f(x)) = (x³ + 13x + 9)³ + 13(x³ + 13x + 9) + 9

However, f²(x) would mean (f(x))² so, in the above example, f²(x) = (x³ + 13x + 9)²