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

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