How do you find the inverse of f(x) = 4x+6

y=4x+6

 

to find the inverse function swap the x and y

 

x=4y+6

 

x-6=4y

 

$${\mathtt{y}} = {\frac{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{6}}\right)}{{\mathtt{4}}}}$$

 

$$f^{-1}(x)=\frac{x-6}{4}$$