Math Homework Needed Help

Question

if f is one-to-one, then f^-1(x)=1/f(x), where f^-1 is the inverse function for f.

True or False

Answer 1

Hi, f^-1(x) and 1/f(x) are two totally different things, despite the confusing notation. So, that's false! For example, for f(x)=x^3, the inverse of f(x) is the cube root function. But 1/f(x) is 1/x^3, which is a totally different rational function