Let f(x) = 7x - 13. Find f^(-1)(x)

Question

How do you solve this?

Answer 1

 

f^-1(x) is the inverse function

 

To find the inverse function. swap the x and y values, then solve for y

 

   f(x) = 7x - 13

    y = 7x - 13

 

Swap x and y

 

    x = 7y - 13

 

Solve for y

 

    x = 7y - 13

    7y - 13 = x

    7y = x + 13

    

    y = (x + 13)/7

 

This is the inverse function