Question

How do you find the inverse of this function

Answer 1

`y=(2+x)/(1-(1)/(2)x)\\\\y\left(1-(1)/(2)x\right)=2+x\\\\y-(1)/(2)xy=2+x\\\\2y-xy=4+2x\\\\2x+xy=2y-4\\\\x(2+y)=2y-4\\\\x=(2y-4)/(y+2)\\\\\boxed{f^(-1)(x)=(2x-4)/(x+2)}`