Answer: x=3y-1/2 or y=(x+1/2)/3
Explanation:
f^-1(x) is just the inverse so all you need to do is switch x and y.
right now you have y=3x-1/2
so switch the x and y to get your answer of x=3y-1/2
if you're asked to solve for y, follow these steps:
1. x +1/2 = 3y-1/2 +1/2 -> x+1/2=3y
2. divide both sides by 3 -> (x+1/2)/3=y