Answer:
[tex]A.\ \ \left( f+g\right) \left( x\right) =-2x^{2}-2x+8[/tex]
Step-by-step explanation:
We are Given :
• f(x) = 3x + 5
• g(x) = -2x² - 5x + 3
Recall that : (f + g)(x) = f(x) + g(x)
Then
(f + g)(x) = 3x + 5 + -2x² - 5x + 3
= -2x² + (3x - 5x) + (5 + 3) (Just put like terms together)
= -2x² + (-2x) + (8) (Simplify)
= -2x² - 2x + 8 (Get rid of the parentheses)
Conclusion :
[tex]\left( f+g\right) \left( x\right) =-2x^{2}-2x+8[/tex]
