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Umnica [9.8K]
3 years ago
14

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

Mathematics
2 answers:
Luden [163]3 years ago
5 0

Answer:

The correct option is B.

Step-by-step 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.

Vadim26 [7]3 years ago
3 0

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


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