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

-2x²-2x+8

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`

Answer 2

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

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`