[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
A function should be one - to - one and onto in order to have inverse.
and to find the point on its inverse function we swap the value of x - coordinate and y - coordinate.
like (x , y) becomes (y , x)
The only way we get (y , x) is by taking image of point (x , y) about line : y = x
[tex] \qquad \large \sf {Conclusion} : [/tex]
we can conclude that the graph of a function and it's inverse is symmetric about equation (line) : y = x
