Problemas
Identify the domain of the following rational expression: (x+4)/(x^2)+x-12 All real numbers except -4 and 3. All real numbers except 4 and -3 All real numbers except 3. All real numbers except -3
Solución
Elenaprofessionell · Tutor durante 6 años
Verificación de expertos
4.6 (205 votos)
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To identify the domain of the rational expression $\frac{x+4}{x^2+x-12}$, we need to find the values of $x$ for which the denominator is not equal to zero. The denominator is $x^2+x-12$, which can be factored as $(x+4)(x-3)$. Therefore, the denominator is zero when $x=-4$ or $x=3$. So, the domain of the rational expression is all real numbers except $-4$ and 3.
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