Answer
$f^{-1}(x)=0.25x^{2}-0.75$ = blue line
$f(x)=\sqrt {4x+3}$ =green line
Work Step by Step
Find the inverse:
$f(x)=y=\sqrt {4x+3}$
$y^2=4x+3$
$x=0.25(y^2-3)$
$x=0.25y^2-0.75$
switch $x$ and $y$:
$y=0.25x^2-0.75$
Yes, the inverse graph is a reflection over the line of y=x.
