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Dmitriy789 [7]
3 years ago
14

If f (x) =1/9x-2 what is f1(x)?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Answer:

\large\boxed{f^{-1}(x)=9x+18}

Step-by-step explanation:

f(x)=\dfrac{1}{9}x-2\to y=\dfrac{1}{9}x-2\\\\\text{Exchange x to y and vice versa}\\\\x=\dfrac{1}{9}y-2\\\\\text{solve for}\ y:\\\\\dfrac{1}{9}y-2=x\qquad\text{add 2 to both sides}\\\\\dfrac{1}{9}y=x+2\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{1}{9\!\!\!\!\diagup_1}y=9x+(9)(2)\\\\y=9x+18

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