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) =

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) =

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...

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Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.