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Misc 15 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at March 30, 2023 by

Misc 15 - Let f(x) = x2 - x, g(x) = 2 |x - 1/2| - 1. Are f, g - Miscellaneous

Misc 15 - Chapter 1 Class 12 Relation and Functions - Part 2
Misc 15 - Chapter 1 Class 12 Relation and Functions - Part 3

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Misc 15 Let A = {−1, 0, 1, 2}, B = {−4, −2, 0, 2} and f, g: A → B be functions defined by f(x) = x2 − x, x ∈ A and g (x) =2 x – 1﷮2﷯﷯ −1, x ∈ A Are f and g equal? Justify your answer. (Hint: One may note that two function f: A → B and g: A → B such that f(a) = g(a) for all a ∈ A, are called equal functions). Functions f & g are equal if f(a) = g(a) for all a ∈ A, i.e. f(a) = g(a) for all a ∈ A {–1 , 0, 1, 2} Since f(a) = g(a) for all a ∈ A {–1 , 0, 1, 2} Hence, the functions f and g are equal.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.