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2 years ago

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

Mathematics

2 answers:

alexandr402 [8]2 years ago

5 0

Answer:

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

Step-by-step explanation:

<u>We are Given</u> :

• f(x) = 3x + 5

• g(x) = -2x² - 5x + 3

<u><em>Recall that</em></u> : (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)

<u>Conclusion</u> :

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

solong [7]2 years ago

4 0

Answer:

-2x²-2x+8

Step-by-step explanation:

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

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