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Limits Continuity and Differentiability question

2021 · 16 Mar · Shift 1 · Q31

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 16 Mar · Shift 1 · Q31

Limits Continuity and Differentiability question

2021 · 16 Mar · Shift 1 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let the functions f : R

\to

R and g : R

\to

R be defined as :

f(x) = \left\{ {\begin{matrix} {x + 2,} & {x \lt 0} \\ {{x^2},} & {x \ge 0} \\ \end{matrix} } \right.

and

g(x) = \left\{ {\begin{matrix} {{x^3},} & {x \lt 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 :

A
0
B
3
C
1
D
2

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