Problema Solution

The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work.

f(x) = 6x

Answer provided by our tutors

f(x) = 6x

=> y = 6x

=> x = y/6

g(y) = y/6

=> g(x) = x/6

f^-1 (x) = g(x) = x/6

 

Domain of f = All real numbers

Range of f = All real numbers

 

Domain of f^-1 = All real numbers

Range of f^-1 = All real numbers