Question

List any restrictions on the domain for the equation TexFormula1" title=" \frac{x+9}{x+2} " alt=" \frac{x+9}{x+2} " align="absmiddle" class="latex-formula">

Answer 1

For a fraction, if the denominator turns to 0, the fraction becomes undefined, and therefore, that's a restriction on a rational.

now, what values of "x" makes the denominator 0?  let's check,

x+2 = 0

x = -2

so, if "x" ever becomes -2, then you'd get

$\bf \cfrac{x+9}{x+2}\implies \cfrac{x+9}{-2+2}\implies \implies \cfrac{-2+9}{-2+2}\implies \stackrel{und efined}{\cfrac{7}{0}}$

so, the domain, or values "x" can take on safely, are any real numbers EXCEPT -2.