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Let f : (0, oo) rarr [9, oo) defined as ...

Let `f : (0, oo) rarr [9, oo)` defined as `f(x) = x^(12) + (4)/(x^(2)) + (4)/(x)`. Check whether f is onto or not.

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To determine whether the function \( f: (0, \infty) \to [9, \infty) \) defined by \[ f(x) = x^{12} + \frac{4}{x^2} + \frac{4}{x} \] is onto, we need to show that for every \( y \in [9, \infty) \), there exists an \( x \in (0, \infty) \) such that \( f(x) = y \). ...
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