Question

True or False? If f is one-to-one, then the inverse of f(x)=1/f(x)

Answer 1

this is false, for example, the function f(x)=x^3 has the inverse x=cube root of x

Answer 2

but clearly, the inverse of f(x) is not 1/f(x) since 1/f(x) does not equal the cube root of x