Question

$$y= \log_{ 3 }({ { x }^{ 2 } -2x-3 })$$

Solve for x

$x=\sqrt{3^{y}+4}+1$
$x=-\sqrt{3^{y}+4}+1$

Solve for y

$y=\log_{3}\left(\left(x-3\right)\left(x+1\right)\right)$
$x<-1\text{ or }x>3$