f(x)=((4 x)/(5-x)) find the domain and range
You asked:
Find the domain and the range of \(f\left( x \right) = \frac{4 x}{5 - x}\)
MathBot Answer:
Domain
Set notation:
\(\displaystyle\left\{x \in \mathbb{R}:x \neq 5\right\}\)
Interval notation:
\(\displaystyle\left(-\infty, 5\right) \cup \left(5, \infty\right)\)
Range
Set notation:
\(\displaystyle\left\{f \in \mathbb{R}:f \neq -4\right\}\)
Interval notation:
\(\displaystyle\left(-\infty, -4\right) \cup \left(-4, \infty\right)\)