Help please Let g: A+ B and f: B+C be functions. Consider the following statements:1 If f and fog are injective then g must be injective.2 If f and fog are surjective then g must be surjective.3 Ifand fog are injective then f must be injective.Ifand fog are surjective then f must be surjective.4.Choose one of the following:(a) 1 and 2 are true, 3 and 4 are false.(b) 1 and 3 are true, 2 and 4 are false.(c) 1 and 4 are true, 2 and 3 are false.(d) 2 and 3 are true, 1 and 4 are false.O (a)(b)O (c)(d)Next

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Let g: A+ B and f: B+C be functions. Consider the following statements: 1 If f and fog are injective then g must be injective. 2 If f and fog are surjective then g must be surjective. 3 If g and fog are injective then f must be injective. and fog are surjective then f must be surjective. 4. If Choose one of the following: (a) 1 and 2 are true, 3 and 4 are false. (b) 1 and 3 are true, 2 and 4 are false. (c) 1 and 4 are true, 2 and 3 are false. (d) 2 and 3 are true, 1 and 4 are false. O (a) (b) O (c) (d)

Let g: A+ B and f: B+C be functions. Consider the following statements: 1 If f and fog are injective then g must be injective. 2 If f and fog are surjective then g must be surjective. 3 If g and fog are injective then f must be injective. and fog are surjective then f must be surjective. 4. If Choose one of the following: (a) 1 and 2 are true, 3 and 4 are false. (b) 1 and 3 are true, 2 and 4 are false. (c) 1 and 4 are true, 2 and 3 are false. (d) 2 and 3 are true, 1 and 4 are false. O (a) (b) O (c) (d)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.7: Combining Functions

Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=

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