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1. Relations And Functions
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Q51 of 70 Page 11

Fill in the blanks in each of the

Let f :R → R be defined by. Then (f o f o f) (x) = _______

Given that,


Now, (fofof)(x) = f[f(f(x))]


=


=


=


=


=


=


=


=


∴ (f o f o f) (x) =


More from this chapter

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49

Fill in the blanks in each of the

Let the relation R be defined on the set


A = {1, 2, 3, 4, 5} by R = {(a, b) : |a2 – b2| < 8}. Then R is given by _______.

50

Fill in the blanks in each of the

Let f = {(1, 2), (3, 5), (4, 1) and g = {(2, 3), (5, 1), (1, 3)}. Then g o f = ______and f o g = ______.

52

Fill in the blanks in each of the

If f (x) = {4 – (x–7)3}, then f–1(x) = _______.

53

State True or False for the statements

Let R = {(3, 1), (1, 3), (3, 3)} be a relation defined on the set A = {1, 2, 3}. Then R is symmetric, transitive but not reflexive.

Questions · 70
1. Relations And Functions
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