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objective 1: determine the domain of a function 1. find the domain. wri…

Question

objective 1: determine the domain of a function

  1. find the domain. write the answer in interval notation.

enter your answer.
instructions
$k(x)=\frac{x - 3}{x + 6}$

Explanation:

Step1: Identify non - valid x values

Set the denominator equal to zero: $x + 6=0$. Solving for $x$ gives $x=-6$. Division by zero is undefined.

Step2: Write domain in interval notation

All real numbers except $x = - 6$ can be used. In interval notation, this is $(-\infty,-6)\cup(-6,\infty)$.

Answer:

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