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Detemine if the following statement is true or false. The domain of (f(x))/(g(x)) consists of numbers x that are in the domains of both f and g. Choose the correct answer below. A. False, because g(x) may equal zero for some x values in the domain of g B. True, because f(x) and g(x) exist for any x in the domain of both f and g. C. False, because f(x) may equal zero for some x values in the domain of f. D. True, because (f(x))/(g(x)) is always defined for any x in the domain of both f and g.

Pergunta

Detemine if the following statement is true or false.
The domain of (f(x))/(g(x)) consists of numbers x that are in the domains of both f and g.
Choose the correct answer below.
A. False, because g(x) may equal zero for some x values in the domain of g
B. True, because f(x) and g(x) exist for any x in the domain of both f and g.
C. False, because f(x) may equal zero for some x values in the domain of f.
D. True, because (f(x))/(g(x)) is always defined for any x in the domain of both f and g.

Detemine if the following statement is true or false. The domain of (f(x))/(g(x)) consists of numbers x that are in the domains of both f and g. Choose the correct answer below. A. False, because g(x) may equal zero for some x values in the domain of g B. True, because f(x) and g(x) exist for any x in the domain of both f and g. C. False, because f(x) may equal zero for some x values in the domain of f. D. True, because (f(x))/(g(x)) is always defined for any x in the domain of both f and g.

Solução

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RicardoMestre · Tutor por 5 anos

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The correct answer is A. False, because $g(x)$ may equal zero for some x values in the domain of g.<br /><br />The domain of $\frac{f(x)}{g(x)}$ consists of numbers x that are in the domains of both f and g, but also exclude any x values for which $g(x) = 0$, since division by zero is undefined.
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