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Stage 4 - Stage 5

The graphs of a function $f$`f` and its inverse $f^{-1}$`f`−1 are symmetric about which line?

$y=-x$`y`=−`x`

A

$xy=1$`x``y`=1

B

$y=x$`y`=`x`

C

$y=x^2$`y`=`x`2

D

Easy

Less than a minute

Consider the graph of the function $f\left(x\right)$`f`(`x`).

Below we have sketched the lines $y=5x$`y`=5`x` (labelled $A$`A`) and $y=x$`y`=`x`.

Below we have sketched the line $y=\frac{1}{2}x$`y`=12`x` (labelled $B$`B`) over the line $y=x$`y`=`x` (labelled $A$`A`).

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