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$Range of the expression f (x) = \frac{x^{3} + x^{2} + x - 3}{x - 1} is$

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[2,∞)

(2,∞)

[2,∞)−{6}

(−1,∞)

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detailed solution

Correct option is A

fx=x3+x2+x-3x-1 ,x≠1 =x2+2x+3x-1x-1,x≠1 =x2+2x+3 ,x≠1 =x+12+2 ≥2, x≠1 Range of the given function = [2, ∞)

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Range of the expression f(x)=x3+x2+x−3x−1 is

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$Range of the expression f (x) = \frac{x^{3} + x^{2} + x - 3}{x - 1} is$