Question

Найдите область определения функции
а)

b)


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Answer 1

$a)\; \; y=cos(\sqrt{x})\\\\OOF:\; \; x\geq 0\; \; \Rightarrow \; \; \; x\in [\, 0,+\infty )\\\\Otvet:\; \; x\in [\, 0;+\infty )\\\\\\b)\; \; y=\frac{\sqrt{cosx+1}}{cosx+x\cdot cosx}\\\\OOF:\left \{ {{cosx+1\geq 0} \atop {cosx+x\cdot cosx\ne 0}} \right\\\\\star \; \; cosx+1\geq 0\; \; ,\; \; cosx\geq -1\; \; ,\; \; x\in (-\infty ;+\infty )\\\\\star \star \; \; cosx+x\cdot cosx\ne 0\; \; ,\; \; \; cosx\cdot (1+x)\ne 0\; \; ,\\\\cosx\ne 0\; \; \; ili\; \; \; x+1\ne 0\\\\x\ne \frac{\pi}{2}+\pi n\; ,\; n\in Z\; \; \; ili\; \; \; x\ne -1\\\\Otvet:\; \; x\ne \frac{\pi}{2}+\pi n\; ,\; n\in Z\; \; \; ili\; \; \; x\ne -1\; .$

b)[tex]y = \frac{ \sqrt{ \cos(x" />

Answer 2

Объяснение:

На фото