If f(x)=-3x+3, then f-1(x)=
2 answers:
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: 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
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