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monitta
3 years ago
9

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

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

\large\boxed{(f-g)(x)=-3x^2-x-4}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

f(x)=-4x^2-6x-1,\ g(x)=-x^2-5x+3\\\\(f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\(f-g)(x)=-4x^2-6x-1-(-x^2)-(-5x)-3\\\\(f-g)(x)=-4x^2-6x-1+x^2+5x-3\qquad\text{combine like terms}\\\\(f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\(f-g)(x)=-3x^2-x-4

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