For which of the following functions f is f(x)=f(1-x) for all x ?
f(x)=1-x
f(x)=1-x^2
f(x)=x^2(1-x)^2
f(x)=x^2(1-x)^2
The answer is D
f(x)=1-x
f(x)=1-x^2
f(x)=x^2(1-x)^2
f(x)=x^2(1-x)^2
The answer is D
Maxx
Look Moneyman, ur option C and D are referring the same value. Now,moneyman wrote:For which of the following functions f is f(x)=f(1-x) for all x ?
f(x)=1-x
f(x)=1-x^2
f(x)=x^2(1-x)^2
f(x)=x^2(1-x)^2
The answer is D
f(x) = x^2(1 - x)^2
Now put 1-x in place of x -
f(1 - x) = (1 - x)^2(1 - (1 - x))^2
= (1 - x)^2x^2 = f(x)
So go for option C or D.
