Find a symbolic Representation for f ^-1(x)

Question

Find a symbolic Representation for f ^-1(x)

 

f(x) = 1   

          x    -  12

 

f ^-1(x) = ?

Answer 1

y = f(x) = 1/(x-12)

 

invert variables

 

x = 1/(y-12)

 

multiply by (y-12)/x both sides

 

y-12 = 1/x

 

y = 1/x + 12

 

y = f^-1(x) = 1/x + 12