Exercise 136 Page 295

a We will begin by finding the inverse of

p (x) .

First, we need to replace

p (x)

with

y .

From there, we switch

x

and

y

and solve for

y .

y = 3 (x^{3} + 6) \to x = 3 (y^{3} + 6)

b We will begin by finding the inverse of

k (x) .

First, we need to replace

k (x)

with

y .

From there, we switch

x

and

y

and solve for

y .

y = 3 x^{3} + 6 \to x = 3 y^{3} + 6

c We will begin by finding the inverse of

h (x) .

First, we need to replace

h (x)

with

y .

From there, we switch

x

and

y

and solve for

y .

y = \frac{x + 1}{x - 1} \to x = \frac{y + 1}{y - 1}

d We will begin by finding the inverse of

j (x) .

First, we need to replace

j (x)

with

y .

From there, we switch

x

and

y

and solve for

y .

y = \frac{2}{3 - x} \to x = \frac{2}{3 - y}

Subchapter links

6.2.1 Using Logarithms to Solve Exponential Equations p.284-285

100

101

102

103

6.2.2 Investigating the Properties of Logarithms p.290-291

113

114

115

116

117

118

119

120

121

122

6.2.3 Writing Equations of Exponential Functions p.294-295

127

128

129

130

131

132

133

134

135

136

6.2.4 An Application of Logarithms p.299-301

138

139

140

141

142

143

144

145

146

147