Question

If f(x)=-3x+3, then f-1(x)=​

Answer 1

Answer:

Step-by-step explanation:

Find the inverse of f(x)=-3x+3.

1.  Replace "f(x)" with "y:"      y = -3x + 3

2.  Interchange x and y:        x = -3y + 3           -x + 3

3.  Solve this result for y:  3y = -x + 3, or   y = -----------

                                                                                3

                                                   -1

4.  Replace "y" with the label "f      (x):"

  -1                -x + 3

f      (x) = --------------------

                          3

Answer 2

Answer: f^{-1}(x) = 3-x/3

Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...

1. y = - 3x + 3 ( add 3x to both sides )

2. 3x + y = 3 ( subtract y from both sides )

3. 3x = 3 - y ( divide both sides by 3 )

4. x = 3-y/3

Change x back into terms of y

f^{-1}(x) = 3-x/3