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11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

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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11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. 12. If f(x) = 2x² + 7x + 3, show that f(b + 2) = 2b² + 15b + 25. %3D 13. If f(x) = x² + 3x – 4, show that a+h)-/(@ – 2a + h +3. 14. If f(x) = 4x² + 2x – 1, show that f(a + b) = 4a² + 4b² + 8ab + +2a + 2b – 1. %3D 15. If f(x) = 2x + 4, show that f(4a) + = 8a + 9.
Transcribed Image Text:11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. 12. If f(x) = 2x² + 7x + 3, show that f(b + 2) = 2b² + 15b + 25. %3D 13. If f(x) = x² + 3x – 4, show that a+h)-/(@ – 2a + h +3. 14. If f(x) = 4x² + 2x – 1, show that f(a + b) = 4a² + 4b² + 8ab + +2a + 2b – 1. %3D 15. If f(x) = 2x + 4, show that f(4a) + = 8a + 9.
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