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Functions question

2019 · 10 Apr · Shift 1 · Q43
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  5. /2019 · 10 Apr · Shift 1 · Q43

Functions question

2019 · 10 Apr · Shift 1 · Q43

JEE MainMathematicsFunctionsMCQ+4 / −1
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 ?
  1. A
    g(f(S)) eee S
  2. B
    f(g(S)) = S
  3. C
    f(g(S)) eee f(S)
  4. D
    g(f(S)) = g(S)
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