For which of the following functions 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)
(D)
I picked #'s. X = 2. So I try to discover when F(2) = F(-1).
But I think this method is really slow. Took me like 2:45.
So how do you set up your table. Do you set up a table of 2 and a table of -1.
And just go one by one?
Because that would be a total of 6 equations ... at a minimum right? Are there ones that you can immediately eliminate.
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)
(D)
I picked #'s. X = 2. So I try to discover when F(2) = F(-1).
But I think this method is really slow. Took me like 2:45.
So how do you set up your table. Do you set up a table of 2 and a table of -1.
And just go one by one?
Because that would be a total of 6 equations ... at a minimum right? Are there ones that you can immediately eliminate.
