True or False: 1. Given f(x) is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units. g^-1(x) is the resulting function when f^−1(x) is shifted down by 3 units. 2. Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. g^-1(x) is the resulting function when f^−1(x) is shifted up by 5 units. 3. If (-3,2) is a point on the graph of the exponential function f(x) then (2,-3) is a point on the graph of the logarithmic function f^−1(x).
True or False: 1. Given f(x) is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units. g^-1(x) is the resulting function when f^−1(x) is shifted down by 3 units. 2. Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. g^-1(x) is the resulting function when f^−1(x) is shifted up by 5 units. 3. If (-3,2) is a point on the graph of the exponential function f(x) then (2,-3) is a point on the graph of the logarithmic function f^−1(x).
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 32E
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True or False:
1. Given f(x) is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units.
g^-1(x) is the resulting function when f^−1(x) is shifted down by 3 units.
2. Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units.
g^-1(x) is the resulting function when f^−1(x) is shifted up by 5 units.
3. If (-3,2) is a point on the graph of the exponential function f(x) then (2,-3) is a point on the graph of the logarithmic function f^−1(x).
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