Answer:
The inverse is 1/3x-2
Step-by-step explanation:
y = 3x+6
Exchange x and y
x = 3y+6
Solve for y
Subtract 6 from each side
x-6 = 3y+6-6
x-6 = 3y
Divide by 3
x/3 -6/3
1/3x -2 = y
[tex]f^{-1} (x)=\frac{1}{3}x-2[/tex]
Replace f(x) with y
y=3x+6
Swap x and y
x=3y+6
3y=x-6
y=1/3x-2
