Let f(x) = 3x - 6 and g(x) = x - 2. Find f/g and its domain
2 answers:
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Answer:
x > -1
Step-by-step explanation:
Divide the whole inequality by 9.
(+1)>
Subtract 1.
>
- 1
> -
Multiply by 3.
x > -1
Answer:
5x² +19x +76 +310/(x-4)
Step-by-step explanation:
The process is straightforward. Find the quotient term, multiply it by the divisor and subtract from the dividend to get the new dividend. Repeat until the dividend is a constant (lower-degree than the divisor).
The tricky part with this one is realizing that there is no x-term in the original dividend, so that term needs to be added with a 0 coefficient. The rather large remainder is also unexpected, but that's the way this problem unfolds.
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Unlike numerical long division, polynomial long division is simplified by the fact that the quotient term is the ratio of the highest-degree terms of the dividend and divisor. Here, the first quotient term is (5x^3)/(x) = 5x^2.
