Answer
Option D is correct
f⁻¹(x) = (x - 6)/(-3)
Explanation
First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.
The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).
f(x) = -3x + 6
write y instead of f(x)
y = -3x + 6
rewrite by replacing the y by x
x = -3y + 6
We can rewrite this as
-3y + 6 = x
make y the subject of formula
-3y = x - 6
Divide both sides by -3
(-3y/-3) = (x - 6)/(-3)
y = (x - 6)/(-3)
f⁻¹(x) = (x - 6)/(-3)
Hope this Helps!!!
