Answer
$ -1,3$
See graph.
Work Step by Step
Step 1. Let $f(x)=g(x)$, we have $x^2+3x=5x+3 \Longrightarrow x^2-2x-3=0 \Longrightarrow (x+1)(x-3)=0 \Longrightarrow x=-1,3$
Step 2. See graph.
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