If the function $g(x) = \begin{cases} k\sqrt{x+1}, & 0 \leq x \leq 3 \\ mx + 2, & 3 < x \leq 5 \end{cases}$ is differentiable, then the value of $k + m$ is: (1) $2$ (2) $\frac{16}{5}$ (3) $\frac{10}{3}$ (4) $4$
If the function $g(x) = \begin{cases} k\sqrt{x+1}, & 0 \leq x \leq 3 \\ mx + 2, & 3 < x \leq 5 \end{cases}$ is differentiable, then the value of $k + m$ is:\\
(1) $2$\\
(2) $\frac{16}{5}$\\
(3) $\frac{10}{3}$\\
(4) $4$