Question:medium
Let
\[
f(x)=
\begin{cases}
x^3+8, & x<0,\\
x^2-4, & x\ge0,
\end{cases}
\qquad
g(x)=
\begin{cases}
(x-8)^{1/3}, & x<0,\\
(x+4)^{1/2}, & x\ge0.
\end{cases}
\]
Then the number of points where the function \(g\circ f\) is discontinuous is ______.
Let
\[
f(x)=
\begin{cases}
x^3+8, & x<0,\\
x^2-4, & x\ge0,
\end{cases}
\qquad
g(x)=
\begin{cases}
(x-8)^{1/3}, & x<0,\\
(x+4)^{1/2}, & x\ge0.
\end{cases}
\]
Then the number of points where the function \(g\circ f\) is discontinuous is ______.
Updated On: Apr 12, 2026
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Correct Answer: 2
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