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The function of f is continuous and has ...

The function of `f` is continuous and has the property `f(f(x))=1-xdot` Then the value of `f(1/4)+f(3/4)` is

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The correct Answer is:
1
Given `f(f(x))= -x+1`
Replacing x by `f(x)` we get
`f(f(f(x)))= -f(x)+1`
`f(1-x)= -f(x)+1`
`f(x)+f(1-x)=1`
`or f((1)/(4))+f((3)/(4))=1`
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