109. For f(x)- and g(x) 2. find f g. Then find the domain of fg.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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Question
109 plz
(e) According to the model, when will the car be
324 CHAPTERS Exponential and Logarithmic Functionm
99. Depreciation The value Vof a Chevy Cruze LT that is yea
old can be modeled by V(1) - 19,200(02)
(a) According to the model, when will the car be
worth $12.0007
(b) According to the model, when will the car be
worth $9000?
(e) According to the model, when will the car be
worth $3000?
Source Kelley Blue Book
100. Depreciation The value Vof a Honda Civic LX that is years
old can be modeled by V(1) - 19,705 (0.848)
(a) According to the model, when will the car be
worth $14,000?
(b) According to the model, when will the car be
worth $10,000?
worth $7500?
Source Kelley Blue Book
Chalenge Problems In Problems 101-105, solve each cauation. Express irrational solutions in exact form.
101. log: (x + 1) - log, -1
103. log; x-4
102. (V2)-- 2
104. In x- (In x)
105. Viog- 2 klog V3
Explaining Concepts: Discussion and Writing
106. Fill in the reason for each step in the following two solutions.
Solve: log, (x - 1)? - 2
Solution A
Solution B
logs (x - 1)2- 2
(x - 1)2 - 3 - 9
log, (x- 1) - 2
2 log, (x- 1) = 2
(x - 1) = +3
logs(x - 1) = 1.
*-1- -3 or x -1- 3,
x-1= 3 - 3
*- -2 or x = 4
Both solutions given in Solution A check. Explain what caused the solution x = -2 to be lost in Solution B
-Retain Your Knowledge
Problems 107-116, are based on material learned earlier in the course. The purpose of hes problems is to keep the materil
your mind so that you are better prepared for the final exam.
107. Solve: 4r+ 3x - 25x + 6-0
113. If f(x) = - and g(x) =
find (/ + el
108. Determine whether the function is one-to-one:
*+2
((0, -4).(2, -2). (4,0).(6,2)}
114. Find the distance between the center of the crck
(x - 2)? + (y + 3)² = 25
and the vertex of the parabola y = -2(x-6)*
A 15. Find the average rate of change f(x) - log:
109. For f(x) -- 2 and g(x) = find fog.
Then find the domain of fog.
*+5
-3"
110. Find the domain of f(x) = Vx+ 3+ V - 1.
111. Solve: x - VI +7-5
112. Find the real zero of the function f(x) - 5x – 30.
from 4 to 16.
A 116. Rationalize the numerator:
VI+ 6 - VI
6
'Are You Prepared?' Answers
1. {-3, 10}
2. (-2,0}
3. (-143)}
4. {-1,77}
Transcribed Image Text:(e) According to the model, when will the car be 324 CHAPTERS Exponential and Logarithmic Functionm 99. Depreciation The value Vof a Chevy Cruze LT that is yea old can be modeled by V(1) - 19,200(02) (a) According to the model, when will the car be worth $12.0007 (b) According to the model, when will the car be worth $9000? (e) According to the model, when will the car be worth $3000? Source Kelley Blue Book 100. Depreciation The value Vof a Honda Civic LX that is years old can be modeled by V(1) - 19,705 (0.848) (a) According to the model, when will the car be worth $14,000? (b) According to the model, when will the car be worth $10,000? worth $7500? Source Kelley Blue Book Chalenge Problems In Problems 101-105, solve each cauation. Express irrational solutions in exact form. 101. log: (x + 1) - log, -1 103. log; x-4 102. (V2)-- 2 104. In x- (In x) 105. Viog- 2 klog V3 Explaining Concepts: Discussion and Writing 106. Fill in the reason for each step in the following two solutions. Solve: log, (x - 1)? - 2 Solution A Solution B logs (x - 1)2- 2 (x - 1)2 - 3 - 9 log, (x- 1) - 2 2 log, (x- 1) = 2 (x - 1) = +3 logs(x - 1) = 1. *-1- -3 or x -1- 3, x-1= 3 - 3 *- -2 or x = 4 Both solutions given in Solution A check. Explain what caused the solution x = -2 to be lost in Solution B -Retain Your Knowledge Problems 107-116, are based on material learned earlier in the course. The purpose of hes problems is to keep the materil your mind so that you are better prepared for the final exam. 107. Solve: 4r+ 3x - 25x + 6-0 113. If f(x) = - and g(x) = find (/ + el 108. Determine whether the function is one-to-one: *+2 ((0, -4).(2, -2). (4,0).(6,2)} 114. Find the distance between the center of the crck (x - 2)? + (y + 3)² = 25 and the vertex of the parabola y = -2(x-6)* A 15. Find the average rate of change f(x) - log: 109. For f(x) -- 2 and g(x) = find fog. Then find the domain of fog. *+5 -3" 110. Find the domain of f(x) = Vx+ 3+ V - 1. 111. Solve: x - VI +7-5 112. Find the real zero of the function f(x) - 5x – 30. from 4 to 16. A 116. Rationalize the numerator: VI+ 6 - VI 6 'Are You Prepared?' Answers 1. {-3, 10} 2. (-2,0} 3. (-143)} 4. {-1,77}
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