What is the inversion of f(x)=5/3x-3

Question

I need help with this problem. I cant seem to figure it out. 

 

Answer 1

By "inversion", I am assuming that you mean "inverse"??

 

To find the inverse function:

 

Step 1:  let f(x) = y        y = 5/(3x-3)

 

Step 2:  switch x and y to get x = 5/(3y-3)

 

Step 3:  solve for y      x(3y-3) = 5

 

                                 3xy - 3x = 5

 

                                       3xy = 3x + 5

 

                                           y = (3x+5)/(3x)

 

f^-1(x) = (3x+5)/(3x)