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Find the set of values for which the function f(x) = 1 – 3x and g(x) = 2x2 – 1 are equal. |
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Answer» f(x) = 1 – 3x, g(x) = 2x2 – 1 To find:- Set of values of x for which f(x) = g(x) Consider, f(x) = g(x) 1 – 3x = 2x2 – 1 2x2 + 3x -2 = 0 2x2 + 4x – x – 2 = 0 2x ( x + 2) –( x + 2 ) = 0 (x+2)(2x-1) = 0 x = -2 or x = 1/2 The set values for which f(x) and g(x) have same value is { -2 , 1/2 }. |
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