Answer:
f^-1(x) = (3/(x+1))-2
Step-by-step explanation:
First, let's replace f(x) with y, so it makes it easier to solve:
y=(3/(x+2))-1
To make a function its inverse, you replace all the x's with y's and all the y's with x's:
x=(3/(y+2))-1
Now, we need to solve for y:
x+1=(3/(y+2))
y+2=3/(x+1)
y=(3/(x+1))-2
Therefore, f^-1(x) = (3/(x+1))-2
