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Find the domain of the function. 7 |x²-161 g(x)

Find the domain of the function. 7 |x²-161 g(x)

Calculus: Early Transcendentals
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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Tutorial Exercise Find the domain of the function. g(x) = |x²-16| Step The domain is the set of all real numbers for which the equation is defined. The function g(x) is defined for all real numbers for which the denominator |x² - 16| + 0. Ix² - 1610 x+4 x = 4 x²160 4 x+4 Step 2 So the product (x − 4)(x + 4) can not equal 0. It will not equal o unless x - 4 = 0 or x + 4 = 0. Find the values which make these expressions equal to 0. X-4 = 0 *O
Transcribed Image Text:Tutorial Exercise Find the domain of the function. g(x) = |x²-16| Step The domain is the set of all real numbers for which the equation is defined. The function g(x) is defined for all real numbers for which the denominator |x² - 16| + 0. Ix² - 1610 x+4 x = 4 x²160 4 x+4 Step 2 So the product (x − 4)(x + 4) can not equal 0. It will not equal o unless x - 4 = 0 or x + 4 = 0. Find the values which make these expressions equal to 0. X-4 = 0 *O
x+4 = 0 Step 3 The values 4, -4 must be excluded from the domain. The domain is the set O all x +4 O all x ±7 O all real numbers O all x ≤ 0 O all x ≥ 0 Write the domain In Interval notation.
Transcribed Image Text:x+4 = 0 Step 3 The values 4, -4 must be excluded from the domain. The domain is the set O all x +4 O all x ±7 O all real numbers O all x ≤ 0 O all x ≥ 0 Write the domain In Interval notation.
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