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Question

The domain of the function f(x)=(x+1)(x3)x2 is



A

[1,2)[3,)

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B

(1,2)[3,)

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C

[1,2][3,)

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D

None of these

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Solution

The correct option is A

[1,2)[3,)


f(x)=(x+1)(x3)x2
For f(x) to be defined,
(x2)0
x2(1)
Also,
(x+1)(x3)(x2)0(x+1)(x3)(x2)(x2)20xϵ[1,2)[3,)(2)
From (1) and (2),
xϵ[1,2)[3,)


Mathematics
RD Sharma
Standard XI

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