Question

If f(x) = -4x^2 - 6x - 1 and g(x) = -x^2 - 5x + 3, find (f + g)(x).

Answer 1

B

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x) = -4x² - 6x - 1 - x² - 5x + 3 ( collect like terms )

= - 5x² - 11x + 2

Answer 2

The correct option is B.

Explanation:

The given functions are

`f(x)=-4x^2-6x-1`

`g(x)=-x^2-5x+3`

Using the p addition property of functions (f + g)(x) can be written as

`(f+g)(x)=f(x)+g(x)`

Substitute the values of each function in the above equation.

`(f+g)(x)=-4x^2-6x-1-x^2-5x+3`

Combine like terms.

`(f+g)(x)=(-4x^2-x^2)+(-6x-5x)+(-1+2)`

`(f+g)(x)=-5x^2-11x+2`

Therefore the correct option is B.