## Questions and Answers

What is the function f(x) = 3x?

In the given context, what does the function f represent?

What does g(b) = the code number assigned to the roll number b signify?

How is the combination of functions f and g defined in this context?

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What type of function is g : B → C in this scenario?

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Based on the definitions given, which statement is true about f : A → B?

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What is the relation R defined in set A = {1, 2, 3, 4, 5, 6, 7}?

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Why is R considered an equivalence relation?

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Which elements in the subset {1, 3, 5, 7} are related according to the given relation?

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Why are elements in the subset {1, 3, 5, 7} not related to any element in {2, 4, 6}?

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How many subsets of elements exist in the relation R for the set A = {1, 2, 3, 4, 5, 6, 7}?

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Why does the relation R include pairs of numbers both being either odd or even?

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What does gof (2) equal to in the given functions f and g?

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If f(x) = cos x and g(x) = 3x^2, what is the value of fog (x)?

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In the functions given, what is the value of fog?

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Why is gof not equal to fog in the provided functions?

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What does gof (5) equal to in the given functions f and g?

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If f(4) = 5 and g(5) = 7, what is the value of gof (4)?

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What is the main feature of binary operations?

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Which of the following is NOT a fundamental operation mentioned in the text?

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What does 'binary' refer to in binary operations?

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What is the general definition of a binary operation on a set A?

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How many numbers can be added or multiplied at a time in binary operations?

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Which of the following statements is true about binary operations?

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What do we mean when we say that (a, b) ∈ R?

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Which of the following best describes what a universal relation is?

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What is an empty relation in a set A?

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How would you define a trivial relation?

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In the context of relations, what does the notation R = {(a, b): a – b = 10} signify?

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Which term defines a universal relation?

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