Posted by **Jacob** on Thursday, April 11, 2013 at 6:42pm.

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) ?

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