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Q.

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

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a

[2,∞)

b

(2,∞)

c

[2,∞)−{6}

d

(−1,∞)

answer is A.

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Detailed Solution

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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