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Question

The number of values of x in the interval [0,1] for which the function f(x)=x+3|log2x|6 is not defined are

A
2
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B
3
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C
4
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D
Function exists everywhere x[0,1]
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Solution

The correct option is A 2
f(x)=x+3|log2x|6
For this function to be defined, the denominator cannot equal to zero.
|log2x|60|log2x|6log2x±6x26,26x64,164
We know that, for log2x to be defined
x>0
When x[0,1]
Therefore, in x[0,1] the function is not defined at 2 values that are x=0,164.

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