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

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  1. Chapter 1 Class 12 Relation and Functions
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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
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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