Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:
[tex]f(x)=3x-2[/tex]
Step 1:
We would write
[tex]y=f(x)[/tex] or [tex]y=3x-2[/tex]
Step 2:
We clear x:
[tex]y+2=3x[/tex]
[tex]\frac{y+2}{3}=x[/tex]
Step 3:
"x" and "y" are exchanged:
[tex]y=\frac{x+2}{3}[/tex]
The inverse is:
[tex]f^{-1}(x)=\frac{x+2}{3}[/tex]
