Let f(x) = x2, x ∈ R. For any A ⊆ R, define g(A) = {x ∈ R : f(x) ∈ A}. If S = [0, 4], then which one of the following statements is not true?

Let f(x) = x2, x ∈ R. For any A ⊆ R, define g(A) = {x ∈ R : f(x)

1.	Let f(x) = x2, x ∈ R. For any A ⊆ R, define g(A) = {x ∈ R : f(x) ∈ A}. If S = [0, 4], then which one of the following statements is not true?
A.	g(f(S)) ≠ S
B.	f(g(S)) = S
C.	g(f(S)) = g(S)
D.	f(g(S)) ≠ f(S)
Answer» D. f(g(S)) ≠ f(S)

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