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Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using interval notation.) [4,00) Is f continuous on this domain? Yes No Find f'(x). f'(x) = 12x - 4 X Does f have an inverse function? Yes No Consider the real number a = 3. For what value of x does f(x) = 3? (If an answer does not exist, enter DNE.) x = 3 Determine the value of f-1(3), if it exists. (If an answer does not exist, enter DNE.) f-1(3) = 13 Use the function f and the real number a = 3 to find (f-1)(3), if it exists. (If an answer does not exist, enter DNE.) (f-¹)(3) = 6

Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using interval notation.) [4,00) Is f continuous on this domain? Yes No Find f'(x). f'(x) = 12x - 4 X Does f have an inverse function? Yes No Consider the real number a = 3. For what value of x does f(x) = 3? (If an answer does not exist, enter DNE.) x = 3 Determine the value of f-1(3), if it exists. (If an answer does not exist, enter DNE.) f-1(3) = 13 Use the function f and the real number a = 3 to find (f-1)(3), if it exists. (If an answer does not exist, enter DNE.) (f-¹)(3) = 6

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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Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using interval notation.) [4,00) Is f continuous on this domain? Yes No Find f'(x). f'(x) = 12x - 4 X Does f have an inverse function? Yes No Consider the real number a = 3. For what value of x does f(x) = 3? (If an answer does not exist, enter DNE.) x = 3 X Determine the value of f-1(3), if it exists. (If an answer does not exist, enter DNE.) f(3) = 13 Use the function f and the real number a = 3 to find (f-¹)(3), if it xists. (If an answer does not exist, enter DNE.) (F-¹)(3) = 6
Transcribed Image Text:Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using interval notation.) [4,00) Is f continuous on this domain? Yes No Find f'(x). f'(x) = 12x - 4 X Does f have an inverse function? Yes No Consider the real number a = 3. For what value of x does f(x) = 3? (If an answer does not exist, enter DNE.) x = 3 X Determine the value of f-1(3), if it exists. (If an answer does not exist, enter DNE.) f(3) = 13 Use the function f and the real number a = 3 to find (f-¹)(3), if it xists. (If an answer does not exist, enter DNE.) (F-¹)(3) = 6
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