MathsJEE Main 4 Apr 2026, Shift 2·Q22·Numerical·Moderate

Limits, Continuity & Differentiability · Continuity and differentiability of modulus functions

Let

f(x) = \begin{cases} e^{x-1}, & x < 0\\ x^2 - 5x + 6, & x \ge 0\end{cases}

and

g(x) = f(\lvert x\rvert) + \lvert f(x)\rvert

. If the number of points where

g

is not continuous and is not differentiable are

\alpha

and

\beta

respectively, then

\alpha + \beta

is equal to .

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