I am trying to figure out how to write the domain in interval notation
i reduced the denominator to (x-4)^2 but am stuck now
any help would be great
Thanks
What you have said is not entirely correct, you can reduce the denominator to $\displaystyle (x+4)^2$ thus
$\displaystyle f(x) = \frac{x-2}{x^2+8x+16} = \frac{x-2}{(x+4)^2}$
For which value is the fraction not defined? i.e when is the denominator zero?
Can you make a conclusion now?