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What is the inverse of f(x)= 1/9 x+2

User Bninopaul
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1 Answer

6 votes

Answer:


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

Explanation:


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

User Ryan Barrett
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