Question

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

Answer 1

f(x) + g(x) = 2x² - 5x - 8 ⇒ 2nd answer

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