The set of values of a for which the graph of the function \( f(x)=...

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The set of values of a for which the graph of the function \( f(x)=a\left(x^{2}+1\right)+x \) is always above the \( x \) -
\( \mathrm{P} \) axis is
(a) \( \left(\frac{1}{2},+\infty\right) \)
(b) \( \left(-\infty,-\frac{1}{2}\right) \)
(c) \( \left(-\frac{1}{2}, \frac{1}{2}\right) \)
(d) \( (0,+\infty) \)
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