Answer:
[tex]f(x) - g(x) = {x}^{2} + 2x - 2[/tex]
Step-by-step explanation:
[tex]f(x) - g(x) = ( {x}^{2} + 3x) - (x - 2) \\ f(x) - g(x) = {x}^{2} + 3x - x - 2 \\ f(x) - g(x) = {x}^{2} + 2x - 2[/tex]