Question

Help!! I'm really stuck on this one If f(x) = 3x+5 and g(x) = -2x^2 - 5x + 3, find (f+g)(x).

Answer 1

Answer:

$A.\ \ \left( f+g\right) \left( x\right) =-2x^{2}-2x+8$

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 :

$\left( f+g\right) \left( x\right) =-2x^{2}-2x+8$

Answer 2

Answer:

-2x²-2x+8

Step-by-step explanation:

$Here,\\\\f(x) = 3x+5\:and\:g(x) = -2x^{2} -5x+3\\\\Now,\\\\\hookrightarrow (f+g)(x)\\\\\hookrightarrow f(x)+g(x)\\\\\hookrightarrow 3x+5-2x^{2} -5x+3\\\\\hookrightarrow -2x^{2} -2x+8$