BPSC 47th Exam Prelims 2005 Solved Paper

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Question : 127 of 150

Marks: +1, -0

If

f ( x)=1/{t-x}

then the value of

f [f [f [x]]]

is –

?
$x^2$
[1 – x]
x

Solution:

If

f(x)=\;{1}/{1-x}

then

f(f(x))=\;{1}/{1-\;{1}/{1-x}}=\;{x-1}/{x}

Similarly

f(f(f(x)))=\;{x}/{x+1-x}=x

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