Identify the domain of the following rational expression: $$\frac{x+4}{{x}^{2}+x-12}$$

albiguguiismx
2022-09-14
Answered

Identify the domain of the following rational expression: $$\frac{x+4}{{x}^{2}+x-12}$$

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ivice7u

Answered 2022-09-15
Author has **18** answers

$$\frac{x+4}{{x}^{2}+x-12}=\frac{x+4}{(x+4)(x-3)}$$

For domain $$x+4\ne 0\phantom{\rule{1em}{0ex}}x\ne -4\phantom{\rule{0ex}{0ex}}x-3\ne 0\phantom{\rule{1em}{0ex}}x\ne 3$$

All real no except -4, 3

For domain $$x+4\ne 0\phantom{\rule{1em}{0ex}}x\ne -4\phantom{\rule{0ex}{0ex}}x-3\ne 0\phantom{\rule{1em}{0ex}}x\ne 3$$

All real no except -4, 3

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So, 106, 721 in expanded form is written: ?

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