Question

If $f^{-1}$denotes the inverse of a function $f$, then the graphs of $f$ and$f^{-1}$ are symmetric with respect to the line$\dots \dots$

Short answer

If$f^{-1}$denotes the inverse of a function$f$, then the graph of$f$and$f^{-1}$are symmetric with respect to the line$y=x$.

Step-by-step solution

Step 1. Definition

The inverse function is a function obtained by reversing the given function. The domain and range of the given function are changed as the range and domain .

Step 2. Explanation

If $\left(a,b\right)$is a point on the graph of a function $f$then $\left(b,a\right)$is a point on the graph of its inverse.

Furthermore, the two graphs will be symmetric about the line $y=x$have symmetry when graphed on the same set of axes.