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Question

The domain of definition of f(x)=x+3(2x)(x5) is



A

(,3)(2,5)

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B

(,3)(2,5)

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C

(,3)(2,5)

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D

None of these

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Solution

The correct option is D

(,3)(2,5)


f(x)=x+3(2x)(x5)
For f(x) to be defined,
(2x)(x5)0x2,5 (1)
Also, (x+3)(2x)(x5)0
(x+3)(2x)(x5)(2x)2(x5)20(x+3)(x2)(x5)0xϵ(,3](2,5) (2)
From (1) and (2),
xϵ(,3](2,5)


Mathematics
RD Sharma
Standard XI

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