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Find domain of g g(x)=x+5/2x^2-x-3

Find domain of g g(x)=x+5/2x^2-x-3
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Find domain of g

g(x)=x+5/2x^2-x-3

User Roganjosh
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g(x)=(x+5)/(2x^2-x-3)\\\\D_g:\\2x^2-x-3\\eq0\\\\2x^2+2x-3x-3\\eq0\\\\2x(x+1)-3(x+1)\\eq0\\\\(x+1)(2x-3)\\eq0\iff x+1\\eq0\ \wedge\ 2x-3\\eq0\\\\x\\eq-1\ \wedge\ x\\eq1.5\\\\D_g:x\in\mathbb{R}\ \backslash\ \{-1;\ 1.5\}
User Huckle
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