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Let f1(x)={x, x leq x leq 1 and 1 x gt1...

Let `f_1(x)={x, x leq x leq 1 and 1 x gt1 and 0`,otherwise `f_2(x) =f_1 (-x)` for all x abd `f_3(x)=-f_2(x)` for all x and `f_4(x)=-f_3(-x)` for all x Which of the following is necessarily true?

A

`f_(4)(x)=f_(1)(x)`, for all x

B

`f_(1)(x)=-f_(3)(-x)`, for all x

C

`f_(2)(-x)=f_(4)(x)`, for all x

D

`f_(1)(x)+f_(3)(x)=0`, for all x

Text Solution

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The correct Answer is:
B
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