Question

find the domain of f and write your answer in interval notation. $f(x)=\frac{9x + 8}{x^{2}+5x - 6}$

Explanation:

Step1: Find denominator's zeros

Set $x^{2}+5x - 6=0$. Factor it as $(x + 6)(x - 1)=0$. Then $x=-6$ or $x = 1$.

Step2: Determine domain

The domain of a rational - function is all real numbers except the values that make the denominator zero. So the domain is all real numbers $x$ such that $x
eq - 6$ and $x
eq1$.

Answer:

$(-\infty,-6)\cup(-6,1)\cup(1,\infty)$