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

Let f(x) be a polynomial of degree one and f(x) be a function defined by
`f(x)={(g(x), x le0), ((1+x)/(2+x)^(1//x), x gt0):}`
If f(x) is continuous at x=0 and f(-1)=f'(1), then g(x) is equal to :

A

`-1/9(1+6log_e3)x`

B

`1/9(1+6log_e3)x`

C

`-1/9(1+6log_e3)x`

D

none of these

Verified by Experts

The correct Answer is:

A

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