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$The number of points at which g (x) = \frac{1}{1 + \frac{2}{f (x)}} is not differentiable, where f (x) = \frac{1}{1 + \frac{1}{x}}$ is

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Correct option is C

Since f(x)=11+1x =xx+1 is not differentiable at x=0,-1 also g(x)=11+2f(x)=11+2xx+1=11+2x+1x=xx+2x+1=x3x+2 is not differentiable at x=0,-1,-23∴g(x) is not differentiable at 3 points

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The number of points at which g(x)=11+2f(x) is not differentiable, where f(x)=11+1xis

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$The number of points at which g (x) = \frac{1}{1 + \frac{2}{f (x)}} is not differentiable, where f (x) = \frac{1}{1 + \frac{1}{x}}$ is