Let f(x)=x^{2}, x\in R . For any A\subseteq R, define g(A)=\{x \subseteq R : f(x) \subseteq A\}. If S = [0,4], then which one of the following statements is not true? [10 Apr 2019 Shift 1]

Correct Answer is : g(f(S))=g(S)

Functions Part 1

Section: Mathematics

Question : 63 of 100

Marks: +1, -0

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?

[10 Apr 2019 Shift 1]

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