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garri49 [273]
3 years ago
13

F(x)=9(x-8) find f^-1(x)

Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{1}{9} x + 8

Step-by-step explanation:

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

y = 9(x - 8) ← divide both sides by 9

\frac{y}{9} = x - 8 ( add 8 to both sides )

\frac{y}{9} + 8 = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{1}{9} x + 8

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