PLSSSSS HELP!!!!!! Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity. (−∞, 0) (0, ∞) (−∞, 1) (1, ∞) (−∞, 5) (5, ∞) (−∞, −5) (−5, ∞)

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, ∞)

Answer:

(−∞, 5) (5, ∞)

Step-by-step explanation: