SIn (-x) In x if x < 0 115. f(x) = if x > 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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115
In Problems 89–112, solve each equation.
87. f(x) = 2*/3 + 4
88. f(x) = -3*+1
89. log3 x = 2
90. log5 x = 3
91. log2 (3x + 4) = 5
92. log3 (3x – 2) = 2
93. log, 16 = 2
()
94. log
= 3
95. In e* = 5
96. In e 2 = 8
97. log4 64 = x
98. log5 625 = x
99. log3 243 = 2x + 1
100. log, 36 = 5x + 3
101. e3x = 10
1
102. e-2r =
3
103. e2x+5 = 8
104. e-2x+1 = 13
105. log7(x + 4) = 2
106. logs (x + x + 4) = 2
107. log, 8* = -6
108. log3 3* = -1
109. 5e0.2x = 7
110. 8 102-7= 3
111. 2·10²-x = 5
112. 4e*+1 = 5
113. Suppose that G (x) = log3 (2x + 1)- 2.
114. Suppose that F(x)
log2 (x + 1) – 3.
(a) What is the domain of G?
(b) What is G(40)? What point s the graph of G?
(c) If G(x) = 3, what is x? Wnai point is on the graph
of G?
(d) What is the zero of G?
(a) What is the domain of F?
(b) What is F(7)? What point is on the graph of F?
(c) If F(x) = -1, what is x? What point is on the grap
of F?
(d) What is the zero of F?obpioo s8-
Mixed Practice In Problems 115–118, graph each function. Based on the graph, state the domain and the range, and find any intercep:
SIn (-x)
1-In(-x) if –1 < x < 0
if x < -1
SIn(-x)
|In x
if x < 0
116. f(x)
115. f(x)
if x > 0
(In x
118. f(x) = 1-In x ifx 1
if 0 < x < 1
02 yol
S-In x if 0 < x < 1
117. f(x) =
if r
Transcribed Image Text:In Problems 89–112, solve each equation. 87. f(x) = 2*/3 + 4 88. f(x) = -3*+1 89. log3 x = 2 90. log5 x = 3 91. log2 (3x + 4) = 5 92. log3 (3x – 2) = 2 93. log, 16 = 2 () 94. log = 3 95. In e* = 5 96. In e 2 = 8 97. log4 64 = x 98. log5 625 = x 99. log3 243 = 2x + 1 100. log, 36 = 5x + 3 101. e3x = 10 1 102. e-2r = 3 103. e2x+5 = 8 104. e-2x+1 = 13 105. log7(x + 4) = 2 106. logs (x + x + 4) = 2 107. log, 8* = -6 108. log3 3* = -1 109. 5e0.2x = 7 110. 8 102-7= 3 111. 2·10²-x = 5 112. 4e*+1 = 5 113. Suppose that G (x) = log3 (2x + 1)- 2. 114. Suppose that F(x) log2 (x + 1) – 3. (a) What is the domain of G? (b) What is G(40)? What point s the graph of G? (c) If G(x) = 3, what is x? Wnai point is on the graph of G? (d) What is the zero of G? (a) What is the domain of F? (b) What is F(7)? What point is on the graph of F? (c) If F(x) = -1, what is x? What point is on the grap of F? (d) What is the zero of F?obpioo s8- Mixed Practice In Problems 115–118, graph each function. Based on the graph, state the domain and the range, and find any intercep: SIn (-x) 1-In(-x) if –1 < x < 0 if x < -1 SIn(-x) |In x if x < 0 116. f(x) 115. f(x) if x > 0 (In x 118. f(x) = 1-In x ifx 1 if 0 < x < 1 02 yol S-In x if 0 < x < 1 117. f(x) = if r
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