# Questions tagged [elementary-functions]

For questions on elementary functions, functions of one variable built from a finite number of polynomials, exponentials and logarithms through composition and combinations using the four elementary operations $(+, –, ×, ÷)$.

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### Find the minimum of $f(x)=x^2-x+1+\sqrt{2x^4-18x^2+12x+68}$.

WA gives the result $9$. But how to solve it by applying inequalites?
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### Finding functions $f, g, h : \mathbb R_{> 0} \to \mathbb R_{> 0}$

Undergraduates at my university showed me this problem, which I found intriguing and now want to see the solution of: Find all functions $f, g, h : \mathbb R_{> 0} \to \mathbb R_{> 0}$ such ...
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### Why can't $a=\theta-\sin(\theta)$ be solved for $\theta$ in terms of $a$ in closed form?

Context: I had taken an interest in alchemical symbols. Many of the ancient drawings are understandably crude, given the tools available at the time. In spite of their rough appearance, I imagined ...