# Open your mind before you answer it

Calculus Level 4

Suppose $$f:[0,1]\rightarrow[0,1]$$ is a continuous non-decreasing function with $$f(0)=0$$ and $$f(1)=1$$. Define $$g(y) = \min \{ x \in [0,1] | f(x) \geq y \}$$, then:

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