Suppose that

$$

$=$

$$

$($

$$

$)$

$=$

$2$

$$

$,$

$$

$$

$0$

$.$

y$=$f$($x$)=$

$2$x

$$

$,$x$0.$

Find a

$$

$>$

$0$

c$>0$ such that the tangent line to the curve y $=$ f$($x$)$at x $=$ c has the same slope as the tangent line to the curve y $=$ f $-1($x$)$ at x $=$ c$.$

You get: