The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.) y 1 0 f x Find each of the following for the given function g. (If an answer does not exist, enter DNE.) g(x) = √√f(x) (a) the domains of g and g' (Enter your answer using interval notation.) g g' (b) the critical numbers of g (Enter your answers as a comma-separated list.) x = (c) the approximate value of g'(6) (Round your answer to two decimal places.) g'(6) = (d) all vertical and horizontal asymptote(s) of g (Enter your answers as a comma-separated list.) vertical asymptote(s) x = horizontal asymptote(s) y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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what is the horizonal asymptote of question d?

The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.)
y
1
0
f
x
Find each of the following for the given function g. (If an answer does not exist, enter DNE.)
g(x) = √√f(x)
(a) the domains of g and g' (Enter your answer using interval notation.)
g
g'
(b) the critical numbers of g (Enter your answers as a comma-separated list.)
x =
(c) the approximate value of g'(6) (Round your answer to two decimal places.)
g'(6) =
(d) all vertical and horizontal asymptote(s) of g (Enter your answers as a comma-separated list.)
vertical asymptote(s)
x =
horizontal asymptote(s)
y =
Transcribed Image Text:The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.) y 1 0 f x Find each of the following for the given function g. (If an answer does not exist, enter DNE.) g(x) = √√f(x) (a) the domains of g and g' (Enter your answer using interval notation.) g g' (b) the critical numbers of g (Enter your answers as a comma-separated list.) x = (c) the approximate value of g'(6) (Round your answer to two decimal places.) g'(6) = (d) all vertical and horizontal asymptote(s) of g (Enter your answers as a comma-separated list.) vertical asymptote(s) x = horizontal asymptote(s) y =
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