Question

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

Answer 1

`\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`