Answer: Yes, [tex]\bold{f^{-1}(x)=\dfrac{x+6}{3}}[/tex]
Step-by-step explanation:
f(x) = 3x - 6 is a line so it is a function because
it passes the vertical line test
and the horizontal line test
To find the inverse, swap the x's and y's and solve for y
[tex]y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y[/tex]
