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18 February, 09:54

If f (x) = 2x^2+3x-4, and g (x) = -8x-4, what does f (x) + g (x) equal?

f (x) = 2x^2+5x+8

f (x) = 2x^2-5x-8

f (x) = 2x^2+11x-8

f (x) = 2x^2+5x

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Answers (1)
  1. 18 February, 11:23
    0
    f (x) + g (x) = 2x² - 5x - 8 ⇒ 2nd answer

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - We can add to functions by adding the like terms in them

    ∵ f (x) = 2x² + 3x - 4

    - f (x) is a quadratic function because the greatest power of x is 2

    ∵ g (x) = - 8x - 4

    - g (x) is a linear function because the greatest power of x is 1

    ∵ f (x) + g (x) means (f + g) (x)

    ∴ f (x) + g (x) = (2x² + 3x - 4) + (-8x - 4)

    - Add the like terms

    ∵ 3x + - 8x = - 5x

    ∵ - 4 + - 4 = - 8

    ∴ f (x) + g (x) = 2x² + - 5x + - 8

    - Remember (+) (-) = (-)

    ∴ f (x) + g (x) = 2x² - 5x - 8

    * f (x) + g (x) = 2x² - 5x - 8
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