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JEE Math Practice Question

Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined as : $$f(x) = \left\{ {\begin{matrix} {x + 2,} & {x < 0} \\ {{x^2},} & {x \ge 0} \\ \end{matrix} } \right.$$ and $$g(x) = \left\{ {\begin{matrix} {{x^3},} & {x < 1} \\ {3x - 2,} & {x \ge 1} \\ \end{matrix} } \right.$$ Then, the number of points in R where (fog) (x) is NOT differentiable is equal to :

  1. A.0
  2. B.3
  3. C.1
  4. D.2

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