Let f(x) = [ 2x² + 1 ] and g(x) = \ 2x - 3, x < 0 2x + 3, x ≥ 0., where [t] is the greatest integer ≤ t. Then, in the open interval (- 1, 1), the number of points where fog is discontinuous is equal to _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Evening shift · Q39

JEE Main 202225 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

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

and

g(x) = \left\{ {\matrix{ {2x - 3,} & {x < 0} \cr {2x + 3,} & {x \ge 0} \cr } } \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 ______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Limit, Continuity and Differentiability Question with Answer (25 Jun Evening shift, Q39) | JEE Arc