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liubo4ka [24]
3 years ago
7

BRAINLIEST!!!!

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

\large\boxed{1.\ (f-g)(x)=x^4-x^2-18}\\\boxed{2.\ (f-g)(x)=3x^5-2x^4-x^2+x-21}

Step-by-step explanation:

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

1.\\f(x)=x^4-9,\ g(x)=x^2+9\\\\(f-g)(x)=(x^4-9)-(x^2+9)=x^4-9-x^2-9=x^4-x^2-18\\\\2.\\f(x)=3x^5+6x^2-5,\ g(x)=2x^4+7x^2-x+16\\\\(f-g)(x)=(3x^5+6x^2-5)-(2x^4+7x^2-x+16)\\\\=3x^5+6x^2-5-2x^4-7x^2+x-16\qquad\text{combine like terms}\\\\=3x^5-2x^4+(6x^2-7x^2)+x+(-5-16)\\\\=3x^5-2x^4-x^2+x-21

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