Ok plugging in works best for me for function questions.
Lets plug x=3
F(x) = F(3)
F(1-X) = F(-2)
So the question can be reframed as F(3)=F(-2) for which of the following?
1. f(x) = 1 – x
F(3) = -2
F(-2) = 3
F(3) not equal to F(-2)
2. f(x) = 1 – x2
F(3) = -8
F(-2) = -3 Again not equal.
3. f(x) = x^2 - (1 – x)^ 2
F(3) = 9-4 = 5
F(-2) = 4-9 = -5 Again not equal.
4. f(x) = x^2(1 – x)^2
F(3) = 9*4 = 36
F(-2) = 4*9 = 36....Equal
5. f(x) = x
-----
1 – x
F(3) = -3/2
F(-2) = -2/3 Not equal.
Answer is D.
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