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Question

If f(x)=x+23x−1, then f(f(x)) is

A
x
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B
x
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C
1x
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D
1x
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E
0
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Solution

The correct option is A x
Given, f(x)=x+23x1
Therefore, f{f(x)}=f(x+23x1)=x+23x1+23(x+23x1)1
=x+2+6x23x+6(3x1)=7x7=x

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