Replace (f(x)) with (y)
Swap (x) and (y)
Solve the new equation for (y)
Replace (y) with (f^{-1}(x))
Check that the original function is one-to-one
Restrict the domain if needed
Verify by composing (f(f^{-1}(x))=x) and (f^{-1}(f(x))=x)
Replace (f(x)) with (y)
Swap (x) and (y)
Solve the new equation for (y)
Replace (y) with (f^{-1}(x))
Check that the original function is one-to-one
Restrict the domain if needed
Verify by composing (f(f^{-1}(x))=x) and (f^{-1}(f(x))=x)