Find the inverse function

Question

 

                  3x

   f(x)=     ______

                 

                  x-2

Answer 1

interchange variables; this gives x = (3y) / (y-2)

 

then solve for y. this is the usual procedure. Finally, relabel what you get for "y" as f^-1(x).

 

Your work will involve cross-multiplication and factoring in order to isolate y.

 

In Precalculus, this is REVIEW of a topic in Algebra II/College Algebra.