# Part - 1 Lecture - 5 Chapter 1 Relations and Functions

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Lecture 5 Questions from Exercise 1.3, NCERT Exemplar, Board’s Question Bank

Introduction to composite functions

Detailed explanation for composite functions

1. Let f :{1, 3, 4} → {1, 2, 5} and g:{1, 2, 5} → {1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof. (N)

2. If f = {(5, 2), (6, 3)}, g = {(2, 5), (3, 6)}, write fog. (E)

3. If the mappings f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write fog. (E)

4. If f : {1, 3} →{1, 2, 5} and g: {1, 2, 5} →{1, 2, 3, 4} be given by f = {(1, 2), (3, 5)}, g = {( 1, 3), (2, 3), (5, 1 )}, write gof . (B)

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