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If f : R → R be a function defined by f(x) = x2, show that the function f is many one into. |
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Answer» f(x) = x2 f(x1) = f(x2) x12 = x22 x12 - x22 (x1 - x2) (x1 + x2) = 0 Squaring x1 - x2 = 0 x1 = x2 or, x1 = x2 or, x1 + x2 = 0 x1 = -x1 Hence, the function is many to one onto function. |
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