MathsJEE Main 6 Apr 2026, Shift 2·Q25·Numerical·Moderate

Limits, Continuity & Differentiability · Continuity of composite function

Let

f(x) = \begin{cases} x^3 + 8 & x < 0\\ x^2 - 4 & x \ge 0\end{cases} \quad\text{and}\quad g(x) = \begin{cases} (x - 8)^{1/3}; & x < 0\\ (x + 4)^{1/2}; & x \ge 0\end{cases}

Then the number of points, where the function

g\mathrm{o}f

is discontinuous, is .

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