Attached figure shows part of graphs y = f(x) and y = g(x). y x P 9 In this part, where d=10, find value of q- p. Express answer in form a√√б where a, b € Z+ Let f(x) = Ln(2x-9) where x> 9/2 and g(x) = 2Ln(x) - Ln(d), where x > 0 and "d" belongs to R*. (a) State equation of VERTICAL ASYNTOTHY of graph y= g(x). Graphs y = f(x) and y = g(x) intersect at DIFFERENT POINTS. (b) (i) Show that, at these points of INTERSECTION, it is satisfied that x² - 2dx + 9d = 0. (ii) From the above, show that d² - 9d > 0. (iii) Find interval of possible values of 'd'

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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This exercise has 2 parts which are attached.

Questions are letters a) and b) while question c) is to be answered on the basis of graph and using data obtained in previous sections.

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Attached figure shows part of graphs y = f(x) and y = g(x).
y
x
P
9
In this part, where d=10, find value of q- p. Express answer in form a√√б where a, b € Z+
Transcribed Image Text:Attached figure shows part of graphs y = f(x) and y = g(x). y x P 9 In this part, where d=10, find value of q- p. Express answer in form a√√б where a, b € Z+
Let f(x) = Ln(2x-9) where x> 9/2 and g(x) = 2Ln(x) - Ln(d), where x > 0 and "d" belongs to R*.
(a) State equation of VERTICAL ASYNTOTHY of graph y= g(x).
Graphs y = f(x) and y = g(x) intersect at DIFFERENT POINTS.
(b) (i) Show that, at these points of INTERSECTION, it is satisfied that x² - 2dx + 9d = 0.
(ii) From the above, show that d² - 9d > 0.
(iii) Find interval of possible values of 'd'
Transcribed Image Text:Let f(x) = Ln(2x-9) where x> 9/2 and g(x) = 2Ln(x) - Ln(d), where x > 0 and "d" belongs to R*. (a) State equation of VERTICAL ASYNTOTHY of graph y= g(x). Graphs y = f(x) and y = g(x) intersect at DIFFERENT POINTS. (b) (i) Show that, at these points of INTERSECTION, it is satisfied that x² - 2dx + 9d = 0. (ii) From the above, show that d² - 9d > 0. (iii) Find interval of possible values of 'd'
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