Let f(x) = x2. a) Find subsets B and C of R such that f(CB) f(C)f(B).

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Let f(x) = x2.
a) Find subsets B and C of R such that f(C\B) ≠ f(C)\f(B).
b) Find a subset E of R such that f-1(f(E)) ≠ E.
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