How do you find the inverse of #f(x)= (2x+1)/(x-3)#?

1 Answer
Jan 10, 2016

Answer:

#f^-1(x)=(1+3x)/(x-2)#

Explanation:

An inverse graph is found by reflecting the original graph in the line y=x. The easiest way to find the inverse function is by setting y=f(x), making x the subject and then switching y and x.

#y=(2x+1)/(x-3)#

#y(x-3)=2x+1#

#xy-3y=2x+1#

#xy-2x=1+3y#

#x(y-2)=1+3y#

#x=(1+3y)/(y-2)#

Therefore #f^-1(x)=(1+3x)/(x-2)#