Question

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, ∞)

Answer 1

(−∞, 5) (5, ∞)

Explanation:

Answer 2

Domain = (−∞, 5) ∪ (5, ∞)

Explanation:

Given the rational function:

`f(x) = (x)/(x-5)`

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, ∞)