Let f:[0,3] \rightarrow A be defined by f(x)=2 x^3-15 x^2+36 x +7 and g:[0, \infty) \rightarrow B be defined by g(x)= {x^{2025}}/{x^{2025}+1} . If both the functions are onto and S=\{x \in {Z}: x \in A or x \in {\B}\}, then n(S) is equal to : [28 Jan 2025 Shift 2]

JEE Main 28 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 16 of 75

Marks: +1, -0

Let f:[0,3]⟶ A be defined by f(x)=2x3−15x2+36x +7 and g:[0,∞)⟶B be defined by g(x)=‌

x2025

x2025+1

. If both the functions are onto and S={x∈Z:x∈ A or x∈B}, then n(S) is equal to :

[28 Jan 2025 Shift 2]

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