if f(x) = 3x-5 then f^-1 (x) = ?

Question

what is the inverse funtion here?

Answer 1

The inverse function is found by replacing the independent variable with the dependent variable and vice versa like so

 

 f(x) = 3x-5 becomes x = 3y-5; now we solve for y

 

3y = x +5 or y = x/3 + 5/3

 

Therefore the inverse function becomes: f^-1(x) = x/3 + 5/3