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Exercise 1: Image and preimage of sets Calculate the following expressions for the given sets and f(x) = x² + 1, g(x) = . No proof is required. x 1. f¹(A) n g(B), where A = [2, 5) and B = [-2,0). 2. ƒ(C) \ ƒ(g¯¹(D)), where C = [-3, 2) and D = (0, 2). 3. f(EUF) Ug¹(F\E), where E = (-2, 1), F = (-4,-1).

Exercise 1: Image and preimage of sets Calculate the following expressions for the given sets and f(x) = x² + 1, g(x) = . No proof is required. x 1. f¹(A) n g(B), where A = [2, 5) and B = [-2,0). 2. ƒ(C) \ ƒ(g¯¹(D)), where C = [-3, 2) and D = (0, 2). 3. f(EUF) Ug¹(F\E), where E = (-2, 1), F = (-4,-1).

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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Q1 Exercise 1: Image and preimage of sets Calculate the following expressions for the given sets and f(x) = x² + 1, g(x) = 1. No proof is required. 1. f-¹(A)n g(B), where A = [2, 5) and B = [-2,0). 2. ƒ(C) \ ƒ(g¯¹(D)), where C = [-3, 2) and D = (0, 2). 3. f(EUF) Ug¯¹(F \ E), where E = (–2, 1), F = (-4, -1). I I I + Drag and drop an image or PDF file or click to browse... I I I
Transcribed Image Text:Q1 Exercise 1: Image and preimage of sets Calculate the following expressions for the given sets and f(x) = x² + 1, g(x) = 1. No proof is required. 1. f-¹(A)n g(B), where A = [2, 5) and B = [-2,0). 2. ƒ(C) \ ƒ(g¯¹(D)), where C = [-3, 2) and D = (0, 2). 3. f(EUF) Ug¯¹(F \ E), where E = (–2, 1), F = (-4, -1). I I I + Drag and drop an image or PDF file or click to browse... I I I
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