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1. True or False. On the space provided, write T if the statement is true and F if otherwise. 1 T I 144 LL Exercises 1.3 T 1. For any functions f and g, (f + g) (x) = (g + f)(x). 2. For any functions fand g, (f.g)(x) = (g•f)(x). 3. If for any functions f and g, (fog)(x) = (gof)(x), then fand g are inverses of each other. 4. The composite function (fog)(x) is always equal to (gof)(x) for functions fand g. 5. The value of (fog) (2) is sometimes equal to (gof) (2) for functions fand g. F 9. 6. The domain off-g is the domain common to f and g. The domain off + g is the domain common to f and g. 7. 8. Then, the domain of 1 Suppose g(x) = x - 1 and f(x) =. (fog)(x) is R - {1}. x If g(x) = x - 1 and f(x) = = for x = 0 and x 1. 10. If g(x) = x - 1 and f(x) = =-=- for x = 0 and x # 1. then (-/-)(x) = 1, then II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x)=x² + 3x - 5 and g(x)=x²+4 2x² + 3x-1 3. f(x)=√x +3 and g(x) = x² + 2√x -1x²/3√x+2 4. f(x) = *+2 Y²4 y², 2 x²-x

1. True or False. On the space provided, write T if the statement is true and F if otherwise. 1 T I 144 LL Exercises 1.3 T 1. For any functions f and g, (f + g) (x) = (g + f)(x). 2. For any functions fand g, (f.g)(x) = (g•f)(x). 3. If for any functions f and g, (fog)(x) = (gof)(x), then fand g are inverses of each other. 4. The composite function (fog)(x) is always equal to (gof)(x) for functions fand g. 5. The value of (fog) (2) is sometimes equal to (gof) (2) for functions fand g. F 9. 6. The domain off-g is the domain common to f and g. The domain off + g is the domain common to f and g. 7. 8. Then, the domain of 1 Suppose g(x) = x - 1 and f(x) =. (fog)(x) is R - {1}. x If g(x) = x - 1 and f(x) = = for x = 0 and x 1. 10. If g(x) = x - 1 and f(x) = =-=- for x = 0 and x # 1. then (-/-)(x) = 1, then II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x)=x² + 3x - 5 and g(x)=x²+4 2x² + 3x-1 3. f(x)=√x +3 and g(x) = x² + 2√x -1x²/3√x+2 4. f(x) = *+2 Y²4 y², 2 x²-x

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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Nam Name of Tea Grade/Section 1 1 | Fif otherwise. 1. True or False. On the space provided, write T if the statement is true and T F T 144 F Exercises 1.3 1. For any functions f and g, (f+ g)(x) = (g+f)(x). 2. For any functions fand g, (f. g)(x) = (g•f)(x). 3. If for any functions f and g, (fog)(x) = (g o f)(x), then fand g are inverses of each other. 4. The composite function (fog)(x) is always equal to (gof)(x) for functions fand g. 6. 7. 8. Score 5. The value of (fog) (2) is sometimes equal to (gof) (2) for functions fand g. The domain off-g is the domain common to f and g. The domain off + g is the domain common to f and g. Then, the domain of 1 Suppose g(x) = x - 1 and f(x) = (fog)(x) is R - {1}. X 9. If g(x) = x - 1 and f(x) = -=- for x = 0 and x 1. - 10. If g(x) = = x - for x = 0 and x#1. x - 1 and f(x) 1 and f(x) = = then (-1)(x) = 21²-x (-²)(x) = then II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x)=x² + 3x - 5 and g(x) = x² +4 2x² + 3x-1 3. f(x)=√x +3 and g(x) = x² + 2√√x -1 X²-3√x+2 Y2 Y ²4 2 4. f(x) = x + 2 x-1
Transcribed Image Text:Nam Name of Tea Grade/Section 1 1 | Fif otherwise. 1. True or False. On the space provided, write T if the statement is true and T F T 144 F Exercises 1.3 1. For any functions f and g, (f+ g)(x) = (g+f)(x). 2. For any functions fand g, (f. g)(x) = (g•f)(x). 3. If for any functions f and g, (fog)(x) = (g o f)(x), then fand g are inverses of each other. 4. The composite function (fog)(x) is always equal to (gof)(x) for functions fand g. 6. 7. 8. Score 5. The value of (fog) (2) is sometimes equal to (gof) (2) for functions fand g. The domain off-g is the domain common to f and g. The domain off + g is the domain common to f and g. Then, the domain of 1 Suppose g(x) = x - 1 and f(x) = (fog)(x) is R - {1}. X 9. If g(x) = x - 1 and f(x) = -=- for x = 0 and x 1. - 10. If g(x) = = x - for x = 0 and x#1. x - 1 and f(x) 1 and f(x) = = then (-1)(x) = 21²-x (-²)(x) = then II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x)=x² + 3x - 5 and g(x) = x² +4 2x² + 3x-1 3. f(x)=√x +3 and g(x) = x² + 2√√x -1 X²-3√x+2 Y2 Y ²4 2 4. f(x) = x + 2 x-1
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