If the function \( g(x)=\left\{\begin{array}{ll}k \sqrt{x+1}, & 0 \...

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If the function \( g(x)=\left\{\begin{array}{ll}k \sqrt{x+1}, & 0 \leq x \leq 3 \\ m x+2, & 3x \leq 5\end{array}\right. \) is differentiable, then the value of \( k+m \) is;
P
(1) 2
(2) \( \frac{16}{5} \)
(3) \( \frac{10}{3} \)
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