The function f(x)=x^3 +1/4 x −1^4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse f^−1 (x) ?

Question

The function f(x)=x^3 +1/4 x −1^4    is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x)  and its inverse f^−1 (x) ?

Reiny · Answer

so is this one, try doing it the way I did it in your original post