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in Sets, Relations and Functions by (20 points)
If \( f(x)=\frac{6 x\left(x^{2}+1\right)}{x^{2}+\left(x^{2}+1\right)^{2}}, x \geq 0 \) then subset of range of \( f(x) \) is/are (A) \( [0,2] \) (B) \( \left[1, \frac{12}{5}\right] \) (C) \( \left[\frac{12}{5}, \infty\right) \cup\{0\} \) (D) \( \left[0, \frac{12}{5}\right] \)image

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