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Online ProgramFind the value of \(g(f(-2))\) using the piecewise functions defined below.
\(f(x) =\begin{cases}2x-1, & \text{if }x <-3 \\x+4, & \text{if }-3<x\leq5 \\x^{2}, & \text{if} x>5\end{cases}\) \(g(x) =\begin{cases}-3x+2, & \text{if }x <2 \\ 4x^{2}, & \text{if} x\geq 2\end{cases}\)