Question

question 18
find the domain of the function $f(x) = \frac{1}{5x + 9}$. what is the only value of $x$ not in the domain?
only value=

Explanation:

Step1: Identify undefined condition

A rational function is undefined when its denominator equals 0. Set the denominator equal to 0:
$5x + 9 = 0$

Step2: Solve for x

Isolate x by first subtracting 9 from both sides, then dividing by 5:
$5x = -9$
$x = \frac{-9}{5} = -1.8$

Answer:

$-1.8$ (or $\frac{-9}{5}$)