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Question

The domain of the function f(x)=(x25x+6)+(8x2+2x) is

A
[2,4]
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B
[2,2][3,4]
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C
[2,4]
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D
(,2)
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Solution

The correct option is B [2,2][3,4]
For function f(x) to be defined
x25x+60
(x2)(x3)0
x(,2][3,)(1)
and
x2+2x+80
x22x80
(x4)(x+2)0
x[2,4](2)
From (1) and (2)
x[2,2][3,4]

Hence domain of the function is [2,2][3,4]

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