Question

How do you find the inverse of `f(x) = 4 / (x+2)`?

Answer 1

Replace the original x with y and original y with x and solve for y.

Explanation:

We can find the inverse of any function by replacing the original function's x with y and y with x and solving.
For this function, `f(x)` is the same as y, so we can write this function as:
`y=4/(x+2)`
Now we flip the x and the y to get:
`x=4/(y+2)`
Now we solve for the new y:
`x(y+2)=4`
`y+2=4/x`
`y=4/x-2`
So our inverse function is: `f^(-1)(x)=4/x-2`