Answer:
f^-1(33) = 7
Step-by-step explanation:
As the question is asking for the inverse function we do the following steps:
Change f(x) into y :
y = 9 -6x
Swap x and y :
x = 9-6y
Solve for y :
Subtract 9 from both sides :
x-9 = -6y
Divide both sides by -6 :
(x-9)÷ -6 = y
Change y back into f(x) :
f(x) = (x-9)÷ -6
Now substitute -33 into x :
((-33)-9) ÷ - 6 =
-42 ÷ -6 =
+7
Hope this helped and have a good day
