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Question

The number of continuous functions f on R such that (f(x))2=x2 for all x is 


A
1 
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B
2  
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C
4  
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D
infinite 
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Solution

The correct option is C 4  
(f(x))2=x2
(f(x))2x2=0 or f(x)=x2
f(x)=±x or f(x)=±|x|

Mathematics

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