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Let A = {−1, 0, 1, 2}, B = {−4, −2, 0, 2} and f , g : A → B be functions defined by f ( x ) = x 2 − x , x ∈ A and . 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 ) &mnForE; a ∈ A , are called equal functions). |
| Answer» Let A = {−1, 0, 1, 2}, B = {−4, −2, 0, 2} and f , g : A → B be functions defined by f ( x ) = x 2 − x , x ∈ A and . 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 ) &mnForE; a ∈ A , are called equal functions). | |