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Functions question

2025 · 28 Jan · Shift 2 · Q44
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  5. /2025 · 28 Jan · Shift 2 · Q44

Functions question

2025 · 28 Jan · Shift 2 · Q44

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f:[0,3]→f:[0,3] \rightarrowf:[0,3]→ A be defined by f(x)=2x3−15x2+36x+7f(x)=2 x^3-15 x^2+36 x+7f(x)=2x3−15x2+36x+7 and g:[0,∞)→Bg:[0, \infty) \rightarrow Bg:[0,∞)→B be defined by g(x)=x2025x2025+1g(x)=\frac{x^{2025}}{x^{2025}+1}g(x)=x2025+1x2025​, If both the functions are onto and S={x∈Z;x∈AS=\{ x \in Z ; x \in AS={x∈Z;x∈A or x∈B}x \in B \}x∈B}, then n(S)n(S)n(S) is equal to :
  1. A
    29
  2. B
    31
  3. C
    30
  4. D
    36
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