Respuesta :
Answer:
Domain = (−∞, 5) ∪ (5, ∞)
Step-by-step explanation:
Given the rational function:
[tex]f(x) = \frac{x}{x-5}[/tex]
The domain for the rational function will be all the real numbers except the values of x which make the denominator equal zero
So, we need to find the zeros of denominator as following:
x - 5 = 0
x = 5
So, denominator will be zero when x = 5
So, The domain = R - {5}
or can be written as (−∞, 5) ∪ (5, ∞)