Question 149
Let $f(x)$ be a continuous function defined on the set of real numbers such that for any real numbers $x$,
(i) $f(x + 1) = f(x) + 1$, and
(ii) $f(x^3) = (f(x))^3$.
Find all possible $f(x)$.
(i) $f(x + 1) = f(x) + 1$, and
(ii) $f(x^3) = (f(x))^3$.
Find all possible $f(x)$.