For which of the following functions f is f(x) = f(1 -x) for all x? (i) f(x)= 1-x (ii) f(x)= 1-x2 (iii) f(x)= x2-(1-x)2 (iv) f(x)= x2(1-x)2 (v) f(x)= x/(1-x)

For which of the following functions f is f(x) = f(1 -x) for all x? (i

1.	For which of the following functions f is f(x) = f(1 -x) for all x? (i) f(x)= 1-x (ii) f(x)= 1-x2 (iii) f(x)= x2-(1-x)2 (iv) f(x)= x2(1-x)2 (v) f(x)= x/(1-x)
Answer» For which of the following functions f is f(x) = f(1 -x) for all x? (i) f(x)= 1-x (ii) f(x)= 1-x² (iii) f(x)= x²-(1-x)² (iv) f(x)= x²(1-x)² (v) f(x)= x/(1-x) Solution: