For which of the following function f is f(x)=f(1-x)

[imane81]

Thanks for helping on this one..
For which of the following function f is f(x)=f(1-x) , for all x?
A. f(x) = 1-x
B. f(x) = 1-x^2
C. f(x) = x^2-(1-x)^2
D. f(x) = x^2(1-x)^2
E. f(x) = x/(1-x)

[komal]

Thanks for helping on this one..
For which of the following function f is f(x)=f(1-x) , for all x?
A. f(x) = 1-x
B. f(x) = 1-x^2
C. f(x) = x^2-(1-x)^2
D. f(x) = x^2(1-x)^2
E. f(x) = x/(1-x)

For x=1 (For All x so we take 1)
F(1) f(1-1)
A 0 1

B 0 1

C 0 -1

D 0 0

E Not possible (1/0)

(D) is correct.

[ajith]

Thanks for helping on this one..
For which of the following function f is f(x)=f(1-x) , for all x?
A. f(x) = 1-x
B. f(x) = 1-x^2
C. f(x) = x^2-(1-x)^2
D. f(x) = x^2(1-x)^2
E. f(x) = x/(1-x)

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