1.
Let f(x)=x2f(x)=x^2, xRx\in\mathbb R. For any ARA\subseteq\mathbb R, define g(A)={xR:f(x)A}g(A)=\{x\in\mathbb R: f(x)\in A\}. If S=[0,4]S=[0,4], then which one of the following statements is not true?