URL details: samjshah.com/2009/04/14/composition-of-functions-and-their-inverses/
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Composition of Functions and their Inverses | Continuous Everywhere but Differentiable Nowhere
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In Algebra II, we have been talking about inverses, and compositions. We finally got to the point where we are asking: what is $latex f^{-1}(f(x))$ and what is $latex f(f^{-1}(x))$? Last year, to illustrate that both equaled $latex x$, I showed them a bunch of examples, and I pretty much said... by the property of…
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2021-07-03
Sam Shah’s approach to teaching function inversion