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Matematika - LS 24/25

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Určete definiční obor funkce

f(x)=\ln(\frac{3x+9}{8-2x})+\ln(8).f(x)=\ln(\frac{3x+9}{8-2x})+\ln(8).
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Vyřešte nerovnici

\frac{-4x-4}{2x-6}\leq -1.\frac{-4x-4}{2x-6}\leq -1.
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Vyřešte nerovnici

6x^2-24x+26 < 8.6x^2-24x+26 < 8.
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Vypočtěte nejmenší reálné číslo, které je řešením soustavy nerovnic

8 ≤ 2 - 9x ≤ 15. Zaokrouhlete na dvě desetinná místa.

 

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