SOLUTION: Suppose {{{ g(1/x)=x^2/(2+x) }}} , find g(g(3))

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Question 1111005: Suppose +g%281%2Fx%29=x%5E2%2F%282%2Bx%29+ , find g(g(3))
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
As a start, substitute 1%2Fx in place of x.

g%281%2F%281%2Fx%29%29=%28%281%2Fx%29%5E2%29%2F%282%2B1%2Fx%29

Left side becomes g%28x%29...

g%28x%29=%28%281%2Fx%5E2%29%2F%282%2B1%2Fx%29%29%28x%5E2%2Fx%5E2%29

g%28x%29=1%2F%282x%5E2%2Bx%29
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