Answer:
[tex]f^{-1}(x)=-3x+12[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x)=-\frac{x}{3}+4\\ \\y=-\frac{x}{3}+4\\\\x=-\frac{y}{3}+4\\ \\x-4=-\frac{y}{3}\\ \\3x-12=-y\\\\-3x+12=y\\\\f^{-1}(x)=-3x+12[/tex]
Make sure to swap the variables to get the inverse function and solve for the output.
