math question week 8 part 3

Question

What are the steps to find the inverse of a function equation?

For example, what is the inverse of f(x) = 2x -7?

Answer 1

f(X ) = 2X -7

 

 Change  f(x ) to Y

 

  Y = 2X -7

 

  Solve for X in terms of Y:

 

    X = (Y + 7 ) /2 

 

   Change X to f^-1 ( X) and Y for X

 

 

     f^-1 (x ) = 1/2 X +7/2

Answer 2

Set up the equation as y=2x-7

Solve for 'x'

Switch 'x' and 'y'. This is your inverse.