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Question

The domain of definition of f(x)=x32x4x3+2x4 is



A

[4,)

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B

(,4]

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C

(4,)

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D

(,4)

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Solution

The correct option is A

[4,)


f(x)=x32x4x3+2x4
For f(x) to be defined, x40
x40x4(1)
Also,  x32x40x32x40x32x4(x3)2(2x4)2x2+96x4(x4)x210x+250
(x5)20, which is always true.
Similarly, x3+2x40 is always true.
Thus, dom (f(x))=[4,)


Mathematics
RD Sharma
Standard XI

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