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natima [27]
2 years ago
15

AP Calculus AB Question from A, P .E* X(Will give branliest if correct)

Mathematics
1 answer:
Lelu [443]2 years ago
5 0

If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

<h3>What is the domain of a function as a result of a binary operator</h3>

<em>Binary</em> operators are operators that involves two functions, there are four <em>binary</em> operators: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division. First, we determine the domains of the functions f(x) and g(x):

f(x):

Domain - [-3, 3]

g(x):

Domain - (- ∞, + ∞)

If we divide f(x) by g(x), then we must take g(x) = 0 into account, since it leads to indetermination. In this case, x = 1/3. Then, the domain of the resulting function:

(f/g)(x):

Domain - [-3, 1/3) ∪ (1/3, 3]

If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

To learn more on functions: brainly.com/question/12431044

#SPJ1

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A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.

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