Ch. 4 - Inverse, Exponential, and Logarithmic Functions
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Problem 107
Use the properties of inverses to determine whether ƒ and g are inverses. ƒ(x) = log￬2 x+1, g(x) = 2x-1
Problem 109
Use the properties of inverses to determine whether ƒ and g are inverses. ƒ(x) = log￬4 (x+3), g(x) = 4x + 3
Problem 111
Write an equation for the inverse function of each one-to-one function given. ƒ(x) = 3x
Problem 112
Write an equation for the inverse function of each one-to-one function given. ƒ(x) = (1/3)x
- Write an equation for the inverse function of each one-to-one function given. ƒ(x) = 5^x + 1
Problem 113
- Find ƒ^-1(x), and give the domain and range. ƒ(x) = e^(x-5)
Problem 113
- Write an equation for the inverse function of each one-to-one function given. ƒ(x) = 4^x+2
Problem 114
- Find ƒ^-1(x), and give the domain and range. ƒ(x) = e^x + 10
Problem 114
Problem 115
Find ƒ-1(x), and give the domain and range. ƒ(x) = ex+1 - 4
Problem 116b
Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(-1)
Problem 116c
Concept Check. If ƒ(x) = ax and ƒ(3) = 27, determine each function value. ƒ(2)
Problem 117
Find ƒ-1(x), and give the domain and range. ƒ(x) = 2 ln 3x
Problem 125
Find the error in the following 'proof' that 2 < 1.