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Limits Continuity and Differentiability question

2022 · 25 Jun · Shift 2 · Q38

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 25 Jun · Shift 2 · Q38

Limits Continuity and Differentiability question

2022 · 25 Jun · Shift 2 · Q38

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f(x) = \left[ {2{x^2} + 1} \right]

and

g(x) = \left\{ {\begin{matrix} {2x - 3,} & {x \lt 0} \\ {2x + 3,} & {x \ge 0} \\ \end{matrix} } \right.

, where [t] is the greatest integer

\le

t. Then, in the open interval (

-

1, 1), the number of points where fog is discontinuous is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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