# Bijective Crossovers

Algebra Level 4

The function $$f(x) = x^3 + \frac {1}{4} x - \frac {1}{4}$$ 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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