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 ?

Sets, Relations and Functions: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Morning shift · Q3817

JEE Main 201910 Apr, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let f(x) = x² , 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 ?