Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using interval notation.) Is f continuous on this domain? Yes No Find f'(x). f'(x) = Does f have an inverse function? O Yes No Consider the real number a = 4. For what value of x does f(x) = 4? (If an answer does not exist, enter DNE.) X = Determine the value of f-1(4), if it exists. (If an answer does not exist, enter DNE.) f-¹ (4) = | Use the function f and the real number a = 4 to find (f1)'(4), if it exists. (If an answer does not exist, enter DNE.) (F-¹)'(4) =

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-9, x> 9
What is the domain of f? (Enter your answer using interval notation.)
Is f continuous on this domain?
Yes
No
Find f'(x).
f'(x) =
Does f have an inverse function?
Yes
No
Consider the real number a = 4. For what value of x does f(x) = 4? (If an answer does not exist, enter DNE.)
X =
Determine the value of f-1(4), if it exists. (If an answer does not exist, enter DNE.)
f-¹ (4) = |
Use the function f and the real number a = 4 to find (f1)'(4), if it exists. (If an answer does not exist, enter DNE.)
(f-¹)'(4) =
Transcribed Image Text:Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using interval notation.) Is f continuous on this domain? Yes No Find f'(x). f'(x) = Does f have an inverse function? Yes No Consider the real number a = 4. For what value of x does f(x) = 4? (If an answer does not exist, enter DNE.) X = Determine the value of f-1(4), if it exists. (If an answer does not exist, enter DNE.) f-¹ (4) = | Use the function f and the real number a = 4 to find (f1)'(4), if it exists. (If an answer does not exist, enter DNE.) (f-¹)'(4) =
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