Answer:
[tex]\textsf{C}\quad f^{-1}(x)=24-6x[/tex]
Step-by-step explanation:
You want the inverse function of f(x) = 24 -x/6.
Inverse function
The function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.
x = f(y)
x = 4 -y/6 . . . . . use definition of f(x)
6x = 24 -y . . . . multiply by 6
y = 24 -6x . . . . add y-6x
f⁻¹(x) = 24 -6x . . . . write using function notation
