1.

The number of points at which `g(x)=1/(1+2/(f(x)))`is not differentiable, where `f(x)=1/(1+1/x)`, is`1`b. `2`c. `3`d. `4`A. 1B. 2C. 3D. 4

Answer» Correct Answer - C
`f(x)=(1)/(1+(1)/(x))=(x)/(x+1)` is not differentiable at `x=0,-1.`
Also, `g(x)=(1)/(1+(2)/(f(x)))=(1)/(1+(2(x+1))/(x))=(x)/(3x+2)`
Thus, the point where g(x) is not differentiable are x = 0, `-1, -2//3`.


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