Question

Find f-¹(x) for the function:
f(x) = -x/3 +4
f−¹(x) = [?]x + []}]

Answer 1

Answer:

$f^{-1}(x)=-3x+12$

Step-by-step explanation:

$\displaystyle f(x)=-\frac{x}{3}+4\\ \\y=-\frac{x}{3}+4\\\\x=-\frac{y}{3}+4\\ \\x-4=-\frac{y}{3}\\ \\3x-12=-y\\\\-3x+12=y\\\\f^{-1}(x)=-3x+12$

Make sure to swap the variables to get the inverse function and solve for the output.