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In-s [12.5K]
3 years ago
7

What is (f−g)(x)?

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

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

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\\text{We have}\\\\f(x)=3x^5+6x^2-5\\\\g(x)=2x^4+7x^2-x+16\\\\\text{substitute:}\\\\(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\\\\\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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Now that you have the function written out, notice the following.
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