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Greeley [361]
3 years ago
10

Determine the domain of the function (f*g)(x) where f(x)=1/x, g(x)=√2-5x

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:  (∞, 0) ∪ (0, 2/5)

               In other words, x is less than 2/5 but cannot include 0

<u>Step-by-step explanation:</u>

f(x)\cdot g(x)=\dfrac{1}{x}\cdot\dfrac{1}{\sqrt{2-5x}}\\\\\\\text{The denominator cannot equal zero and must be a real number, so}\\x\neq 0\quad and\quad \sqrt{2-5x}>0\\\\\\(\sqrt{2-5x})^2>0^2\\.\quad 2-5x>0\\.\qquad -5x>-2\\\\.\qquad \quad x

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5 0
4 years ago
Provide conditions under which the mean function is linear but has a negative coefficient
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4 years ago
After a work luncheon, Sara brought home 5/9 of a cheese
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8 0
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