Question

Determine the domain of the function f(x) = x^2 + 6x +5/x^2 - 25

Answer 1

Answer:

The answer to your question is the last option

Step-by-step explanation:

Here there is a rational function so, we need to find the values where the denominator equals zero.

                         $f(x) = \frac{x^{2} + 6x + 5}{x^{2}- 25 }$

                                $x^{2} - 25 = 0$

Factor                      (x - 5)(x + 5) = 0

                                 

                               x₁ - 5 = 0               x₂ + 5 = 0

The function does not exist in -5 and 5

                              x₁ = 5                    x₂ = -5

Domain

                      (  -∞ , -5) U (-5, 5) U (5, ∞)

Answer 2

Answer:

the answer is d in edge

Step-by-step explanation:

(–∞, –5) U (–5, 5) U (5, ∞)