need help nadding and subtracting functions

Answer:
2x² + [tex]\frac{3}{2}[/tex] x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= [tex]\frac{x}{2}[/tex] - 2 + 2x² + x - 3 ← collect like terms
= 2x² + [tex]\frac{3}{2}[/tex] x - 5