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Crazy boy [7]
3 years ago
5

Which value is in the domain of f(x)?

Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that:   -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

x = 0

Do not belong to this domain.

While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

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Answer: \boxed{\bold{7-\left(-10\right)}}

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3 years ago
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Answer:

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Step-by-step explanation:

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green: \frac{2}{14}

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Removing 1 red, 1 red, 1 yellow, and 1 yellow = \frac{4}{14} \cdot \frac{4}{14}  \cdot \frac{3}{14}  \cdot \frac{3}{14} =\frac{9}{2401}

Removing 1 green, 1 yellow, 1 yellow, and 1 red = \frac{2}{14} \cdot \frac{3}{14}  \cdot \frac{3}{14}  \cdot \frac{4}{14} =\frac{9}{4802}

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Answer:

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