Replace f(x) with y
Swap x and y
Solve for y
Replace y with f^-1(x)
Verify the inverse by checking f(f^-1(x)) = x and f^-1(f(x)) = x
Ensure the original function is one-to-one
Restrict the domain if necessary
Replace f(x) with y
Swap x and y
Solve for y
Replace y with f^-1(x)
Verify the inverse by checking f(f^-1(x)) = x and f^-1(f(x)) = x
Ensure the original function is one-to-one
Restrict the domain if necessary