# SOLUTION: can you help me find the inverse of the function g(x)= x/(x+2)

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 Click here to see ALL problems on Inverses Question 63476: can you help me find the inverse of the function g(x)= x/(x+2)Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!```Can you help me find the inverse of the function g(x)= x/(x+2) 1. Replace g(x) by y y = x/(x+2) 2. Interchange x and y x = y/(y+2) 3. Solve for y: x = y/(y+2) x(y+2) = y xy + 2x = y 2x = y - xy 2x = y(1 - x) (2x)/(1 - x) = y y = (2x)/(1 - x) 4. Replace y by f-1(x) f-1(x) = (2x)/(1 - x) To check, draw the graph of f(x) On the same axis, draw the graph of f-1(x) Draw the indenty line, where y and x are identical, that is, the line whose equation is y = x. and we see that the original function and the inverse are reflections of each other in the identity line, and form a symmetrical pattern. So the inverse is correct. Edwin```