Question

If f(x)=9, find f^-1(33)

Answer 1

f^-1(33) = 7

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

Answer 2

7

Explanation:

`f^(-1)(-33)=k \implies f(k)=-33 \\ \\ 9-6k=-33 \\ \\ -6k=-42 \\ \\ k=7`