Answer:
Step-by-step explanation:
I'm seeing that f(x) is
[tex]\frac{3x-2}{6}[/tex]
What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:
[tex]x=\frac{3y-2}{6}[/tex]
Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:
6x = 3y - 2 and
6x + 2 = 3y so
2x + 2/3 = y
To put it back into function notation:
[tex]f^{-1}(x)=2x+\frac{2}{3}[/tex]
