You can put this solution on YOUR website!
There's a problem here: the equation
has no inverse over the domain
. However, if we restrict the domain to be [)
, then we can find the inverse.
Start with the given equation.
Switch each "x" and "y". The goal is to now solve for "y"
Add 3 to both sides.
Divide both sides by 2.
Rearrange the equation
Take the square root of both sides. Note: since we made the domain [)
, this means that we're only dealing with the positive square root.
So the inverse equation is
where the domain and range is simply flipped: