Find domain of y_(213291) : y_(213291) =((3+e^((x^2 −3x+2)/(x−6)) )/(log


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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
	$D_(y213291) : { ((x≠6)),((x^2 −(1/4)>0)),((x^2 −(1/4)≠1)) :} determinant (((D_(y213291) =(−∞,−((√5)/2))∪(−((√5)/2),(1/2))∪(((√5)/2),((√5)/2))∪(((√5)/2),6)∪(6,+∞))))$
	$D_{y 213291} : {\begin{cases} x \neq 6 \\ x^{2} - \frac{1}{4} > 0 \\ x^{2} - \frac{1}{4} \neq 1 \end{cases}$ $\begin{matrix} D_{y 213291} = (- \infty, - \frac{\sqrt{5}}{2}) \cup (- \frac{\sqrt{5}}{2}, \frac{1}{2}) \cup (\frac{\sqrt{5}}{2}, \frac{\sqrt{5}}{2}) \cup (\frac{\sqrt{5}}{2}, 6) \cup (6, + \infty) \end{matrix}$
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