How to find the intersection between a function and it’s inverse without finding the rule

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[@evan.5967]

Don’t u have to use the answer from a since it specifically says “hence”? And also, how can u be sure the graphs of f and f inverse intersect on y=x? Is this necessarily true? Thanks

[@mianlearning]

good question. we used the fact that f(x) is strictly increasing to assume that f(x) had an inverse function that exists without reducing down the maximal domain. I didn't make it that clear in the video but great pick up.

[@sereya666]

99.9%? You sure? I would say no.