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Find the domain of the function shown. Write the answer in interval notation.

A. (–∞, 3) ∪ (3, ∞)
B. (–∞, 3)
C. (–20, 3)
D. (–∞, –20) ∪ (–20, ∞)

Find the domain of the function shown. Write the answer in interval notation. A. (–∞, 3) ∪ (3, ∞) B-example-1
User Capuchin
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1 Answer

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( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )


User Indolering
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