Answer:
see explanation
Step-by-step explanation:
Note that
(f + g)(x) = f(x) + g(x) and
(f - g)(x) = f(x) - g(x)
5
f(x) + g(x)
= 5x² + 3 + x² - 7 = 6x² - 4
6
f(x) - g(x) = 5x² + 3 - (x² - 7) ← distribute parenthesis
= 5x² + 3 - x² +7 ← collect like terms
= 4x² + 10
7
f(x) + g(x) = [tex]4^{x}[/tex] + 3x + 2x - 5 = [tex]4^{x}[/tex] + 5x - 5
