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1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to verify that these are inverse functions. (c) Sketch the two functions and the line y = x on the same set of axes. Label each line with its equation.

1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to verify that these are inverse functions. (c) Sketch the two functions and the line y = x on the same set of axes. Label each line with its equation.

Calculus: Early Transcendentals
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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Name: R.I.T SCHOOL OF MATHEMATICAL SCIENCES MATH 171 Date: Prerequisite 19 =4 Reminders about Inverse Functions: 1) A function has in an inverse if it is one-to-one (passes the horizontal line test). 2) Inverse functions trade their domain and range. 3) The inverse of f(x) is denoted f-¹(x). 4) Two functions are inverses if their composite functions are: f (ƒ-¹(x)) = f¹ (f(x)) = x + -1 -2 -3 1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-1 to verify that these are inverse functions. (c) Sketch the two functions and the line y = x on the same set of axes. Label each line with its equation.
Transcribed Image Text:Name: R.I.T SCHOOL OF MATHEMATICAL SCIENCES MATH 171 Date: Prerequisite 19 =4 Reminders about Inverse Functions: 1) A function has in an inverse if it is one-to-one (passes the horizontal line test). 2) Inverse functions trade their domain and range. 3) The inverse of f(x) is denoted f-¹(x). 4) Two functions are inverses if their composite functions are: f (ƒ-¹(x)) = f¹ (f(x)) = x + -1 -2 -3 1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-1 to verify that these are inverse functions. (c) Sketch the two functions and the line y = x on the same set of axes. Label each line with its equation.
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