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Verdich [7]
3 years ago
10

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

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

\huge\boxed{(f-g)(x)=3x^2+6}

Step-by-step explanation:

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

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