Answer
The domain of $f$ is the set of real numbers bigger than or equal to zero but less than 100.
In interval notation, the domain is $[0, 100)$.
Work Step by Step
The variable $x$ represents the percentage of pollutants removed from the bayou. This means that $x$ cannot be negative.
$f(x)$ is a rational function therefore the denominator cannot be 0.
The denominator will be 0 when:
$100-x = 0
\\100=x$
Thus, $x$ cannot be 100.
Therefore the domain of the function $f$ is $[0, 100)$.
