Find-domain-of-y-213291-y-213291-3-e-x-2-3x-2-x-6-log-3-4-x-2-1-4-

Question Number 213291 by MathematicalUser2357 last updated on 02/Nov/24

F i n d d o m a i n o f y_{213291} :

y_{213291} = \frac{3 + e^{\frac{x^{2} - 3 x + 2}{x - 6}}}{\log_{\frac{3}{4}} \sqrt{x^{2} - \frac{1}{4}}}

Answered by MrGaster last updated on 02/Nov/24

D_{y 213291} : {\begin{cases} x \neq 6 \\ x^{2} - \frac{1}{4} > 0 \\ x^{2} - \frac{1}{4} \neq 1 \end{cases}

\begin{matrix} D_{y 213291} = (- \infty, - \frac{\sqrt{5}}{2}) \cup (- \frac{\sqrt{5}}{2}, \frac{1}{2}) \cup (\frac{\sqrt{5}}{2}, \frac{\sqrt{5}}{2}) \cup (\frac{\sqrt{5}}{2}, 6) \cup (6, + \infty) \end{matrix}

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