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1. Use f(x) and g(x) for parts a - e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x+2) = g(x) + g(2). g(x + 2) = b) Find (f - g)(x). g(x) + g(2) = 98 shoe in France. Write the answer c) Using the resulting function in (b), show that (f — g)(2) = ƒ(2) – g(2). (f- g)(2) = f(2) - g(2) =

1. Use f(x) and g(x) for parts a - e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x+2) = g(x) + g(2). g(x + 2) = b) Find (f - g)(x). g(x) + g(2) = 98 shoe in France. Write the answer c) Using the resulting function in (b), show that (f — g)(2) = ƒ(2) – g(2). (f- g)(2) = f(2) - g(2) =

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Math 114 ab Module 2 Show all work for each of the following problems. Simplify and clearly indicate all answers. 1. Use f(x) and g(x) for parts a -e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x + 2) ‡ g(x) + g(2). g(x + 2) = b) Find (f- g)(x). Name: d) Is (fg)(0) = (0)? Explain. c) Using the resulting function in (b), show that (f - g)(2) = f(2) — g(2). (f - g)(2) = f(2) - g(2) = e) Find the difference quotient, g(x) + g(2) = f(x+h)-f(x) h , where h = 0.
Transcribed Image Text:Math 114 ab Module 2 Show all work for each of the following problems. Simplify and clearly indicate all answers. 1. Use f(x) and g(x) for parts a -e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x + 2) ‡ g(x) + g(2). g(x + 2) = b) Find (f- g)(x). Name: d) Is (fg)(0) = (0)? Explain. c) Using the resulting function in (b), show that (f - g)(2) = f(2) — g(2). (f - g)(2) = f(2) - g(2) = e) Find the difference quotient, g(x) + g(2) = f(x+h)-f(x) h , where h = 0.
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