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Question

If f(x)=11−x, where x≠0,1, then the graph of the function y=f{f(f(x))},x>1, is:

A
a circle
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B
an ellipse
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C
a straight line
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D
a pair of straight lines
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Solution

The correct option is B a straight line
f(x)=11x
f(f(x))=1111x
f(f(f(x)))=111111x
=1111x11x=11(1x)x=11+1xx=1x+1xx=x1
y=x
Which represents a straight line. [C].

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