How To Find Inverse Of A Function?

Replace (f(x)) with (y)

Write the equation as (y = f(x))

Swap (x) and (y) to get (x = f(y))

Solve the resulting equation for (y)

Replace (y) with (f^{-1}(x))

Verify by checking that (f(f^{-1}(x)) = x) and (f^{-1}(f(x)) = x) (when applicable)

Restrict the domain of (f) to ensure the function is one-to-one (if needed), then repeat the steps above