High School Pre-Cal

Question

What is the inverse of the function F(x) = 6x + 3, and is it a function?

Answer 1

In general if y=f(x)  then  x=f^-1(y)  

So here y=6x+3 --> 6x=y-3 --> x= (y-3)/6  so that

f^-1(y)=(y-3)/6 

 

The original fcn. f(x)=6x+3 is 1-to-1 so the inverse

is single valued and is a function. (Also, you can

see from the expression for f^-1(y) it's just a  straight line.)