Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using interval notation.) [4,00) x Is f continuous on this domain? Yes No Find f'(x). f'(x) = = Yes 12x - 4 Does f have an inverse function? No X 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 f¹(3), if it exists. (If an answer does not exist, enter DNE.) f(3) = 13 Use the function f and the real number a = (f¹)(3) = 6 3 to find (f ¹)(3), if it exists. (If an answer does not exist, enter DNE.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the following function.
f(x)=√x - 4,
What is the domain of f? (Enter your answer using interval notation.)
[4,00)
Yes
Is f continuous on this domain?
O No
Find f'(x).
f'(x) = 12x - 4
X
Yes
O No
Does f have an inverse function?
X
X > 4
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
Need Help?
Determine the value of f¹(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 exists. (If an answer does not exist, enter DNE.)
(f¹)(3) = 6
Read It
Transcribed Image Text:Consider the following function. f(x)=√x - 4, What is the domain of f? (Enter your answer using interval notation.) [4,00) Yes Is f continuous on this domain? O No Find f'(x). f'(x) = 12x - 4 X Yes O No Does f have an inverse function? X X > 4 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 Need Help? Determine the value of f¹(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 exists. (If an answer does not exist, enter DNE.) (f¹)(3) = 6 Read It
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