The number of points at which g(x)=11+2f(x) is not differentiable, where f(x)=11+1xis
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a
1
b
2
c
3
d
4
answer is C.
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Detailed Solution
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