Let g(x) be a polynomial of degree one a...

Let `g(x)` be a polynomial of degree one and `f(x)` is defined by `f(x)={g(x)`, `xleq0` and `((1+x)/(2+x))^(1/x)`,`xgt0`} Find `g(x)` such that `f(x)` is continuous and `f'(1)=f(-1)`

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The correct Answer is:

`f(x)={(2/3(log(2/3)-1/6)x, xle0),(((1+x)/(2x+3))^(1/x), xgt0):}`

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