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STatiana [176]
3 years ago
6

F(x) = -3x + 3, then f-1(x) =

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

f^{-1}(x) = \frac{3-x}{3}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

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

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

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

x = \frac{3-y}{3}

Change x back into terms of y

f^{-1}(x) = \frac{3-x}{3}

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