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777dan777 [17]
3 years ago
7

Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

  • Dom(f+g) = [-2, 5]

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

  • The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

so

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

  • Dom(f+g) = [-2, 5]
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Lucia uses 3 ounces of pasta to make 3/4 serving of pasta, How many ounces of pasta are there per serving? How many ounces of pa
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1. 4 ounces of pasta per serving.

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Step-by-step explanation:

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We can say that the amount of pasta is directly proportional to the amount of servings.

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