Mathematics · 2019
JEE Main · 10 April 2019, Shift 1 · Q61
Let f(x)=x^2, 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 $\displaystyle f(x)=x^2, x \in \mathbf{R}$. For any $\displaystyle \mathrm{A} \subseteq \mathbf{R}$, define $\displaystyle g(A)=\{x \in R: f(x) \in A\}$. If $\displaystyle S=[0,4]$, then which one of the following statements is not true ?
Official answer
(4)
$\displaystyle g(f(S))=g(S)$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.