20-05-2014
Mathematics

Answered

find domain of g

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

Verified Answer :

Anonymous Anonymous

07-07-2014

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

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