The following function is one to one. Rest below

Question

Find the inverse of the function and express it using f^-1(x) notation

 

f(x) = x/4 - 1/4    

Answer 1

y = x/4 -1/4

 

f^-1(x) -->  x = y/4 -1/4

 

     solve for y:

 

           y/4 = x + 1/4

           y = 4(x + 1/4)

           y = 4x + 1

 

           f^-1(x) = 4x + 1