Inverse function simple question

Question

Function-1

Please explain question no. c in detail

Please show us what you tried and what your answers at (a) and (b) are. — Jolien, Jul 07 '15 at 07:28
Question (c) asks you to show that the graph of $f^{-1}$ and the graph of $f$ are symmetric with respect to the line $y=x$. — , Jul 07 '15 at 07:54

score 2 · Accepted Answer · answered Jul 07 '15 at 07:44

HINT : If you look at the inverse graph of a function it is nothing but the reflection of the point $(x,f(x))$ along the line $y=x$. So intuitively $f(f^{-1}(x))$ resembles taking the reflection twice. Which brings you back to the original point.

Inverse function simple question

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