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Question

If 2x+2f(x)=2 , then the domain of the function f(x) is

A
R
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B
R{1}
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C
(,1)
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D
(1,)
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Solution

The correct option is C (,1)
2f(x)=22x
Taking log with base 2 both sides, we get
f(x)=log2(22x)
Now, for f(x) to be defined,
22x>021>2x1>x
x(,1)

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