Question

List any restrictions on the domain for the equation 
`(x+9)/(x+2)`

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.