Question

write the domain in interval notation.
part 1 of 3
(a) $f(x) = \frac{x - 4}{x - 9}$
the domain is all real numbers except for those that make the denominator zero.
the variable $x$ has the restriction that $x - 9 \
eq 0$. therefore, $x \
eq \square$.
domain: $\square$

Explanation:

Step1: Find undefined x-value

Set denominator to 0: $x-9=0$
Solve for x: $x=9$

Step2: Write domain in intervals

All reals except $x=9$: $(-\infty,9) \cup (9,\infty)$

Answer:

$x
eq 9$
Domain: $(-\infty,9) \cup (9,\infty)$