Relations and Functions_ JEE MAIN_2019_10-04-2019-S-1 - Competishun

JEE MAIN_2019_

10-04-2019-S-1

Question

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

Select the correct option:

$f(g(S))=S$

$g(f(S))=g(S)$

$g(f(S)) \neq S$

$f(g(S)) \neq f(S)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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