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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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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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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