EXAMPLE 1 Finding the Domain of a Rational Function 2r? – 4 (a) The domain of R(x) is the set of all real numbers x except -5; that x + 5 is, the domain is {x\x # -5}. SECTION 4.4 Properties of Rational Functions 217 1. (b) The domain of R(x) - is the set of all real numbers x except –2 and 2; x? - 4 that is, the domain is {x|x # -2, x # 2}. is the set of all real numbers. x* +1 x² - is the set of all real numbers x except 1; that is, (c) The domain of R(x) (d) The domain of R(x) x - 1 the domain is {x | x + 1}.
EXAMPLE 1 Finding the Domain of a Rational Function 2r? – 4 (a) The domain of R(x) is the set of all real numbers x except -5; that x + 5 is, the domain is {x\x # -5}. SECTION 4.4 Properties of Rational Functions 217 1. (b) The domain of R(x) - is the set of all real numbers x except –2 and 2; x? - 4 that is, the domain is {x|x # -2, x # 2}. is the set of all real numbers. x* +1 x² - is the set of all real numbers x except 1; that is, (c) The domain of R(x) (d) The domain of R(x) x - 1 the domain is {x | x + 1}.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![EXAMPLE 1
Finding the Domain of a Rational Function
2r? – 4
(a) The domain of R(x)
is the set of all real numbers x except -5; that
x + 5
is, the domain is {x\x # -5}.
SECTION 4.4 Properties of Rational Functions 217
1.
(b) The domain of R(x)
- is the set of all real numbers x except –2 and 2;
x? - 4
that is, the domain is {x|x # -2, x # 2}.
is the set of all real numbers.
x* +1
x² -
is the set of all real numbers x except 1; that is,
(c) The domain of R(x)
(d) The domain of R(x)
x - 1
the domain is {x | x + 1}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9aff98f-99dc-46cb-88c3-aa0783c7468a%2F7a9539fc-7d99-4ff7-8baf-a0c86605c7e7%2F04jhmpc_processed.png&w=3840&q=75)
Transcribed Image Text:EXAMPLE 1
Finding the Domain of a Rational Function
2r? – 4
(a) The domain of R(x)
is the set of all real numbers x except -5; that
x + 5
is, the domain is {x\x # -5}.
SECTION 4.4 Properties of Rational Functions 217
1.
(b) The domain of R(x)
- is the set of all real numbers x except –2 and 2;
x? - 4
that is, the domain is {x|x # -2, x # 2}.
is the set of all real numbers.
x* +1
x² -
is the set of all real numbers x except 1; that is,
(c) The domain of R(x)
(d) The domain of R(x)
x - 1
the domain is {x | x + 1}.
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