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3 Let f(x)=√x + 27. a. Determine algebraically whether the given function is a one-to-one function. b. If the function is one-to-one, find its inverse. c. Sketch the graph of the function and its inverse on the same coordinate axes. d. Give the domain and intercepts of the one-to-one function and its inverse function.

3 Let f(x)=√x + 27. a. Determine algebraically whether the given function is a one-to-one function. b. If the function is one-to-one, find its inverse. c. Sketch the graph of the function and its inverse on the same coordinate axes. d. Give the domain and intercepts of the one-to-one function and its inverse function.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Let f(x)=√x + 27. a. Determine algebraically whether the given function is a one-to-one function. b. If the function is one-to-one, find its inverse. c. Sketch the graph of the function and its inverse on the same coordinate axes. d. Give the domain and intercepts of the one-to-one function and its inverse function.
Transcribed Image Text:Let f(x)=√x + 27. a. Determine algebraically whether the given function is a one-to-one function. b. If the function is one-to-one, find its inverse. c. Sketch the graph of the function and its inverse on the same coordinate axes. d. Give the domain and intercepts of the one-to-one function and its inverse function.
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A. The y-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The given function is not a one-to-one function. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. O A. The x-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The given function is not a one-to-one function.
Transcribed Image Text:A. The y-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The given function is not a one-to-one function. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. O A. The x-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The given function is not a one-to-one function.
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