The graph of the function f (x) = StartFraction 3 Over x + 5 EndFraction is shown below.

On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5.

What is the vertical asymptote of the function?

Respuesta :

Using it's concept, it is found that the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

What are the vertical asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this problem, the function is fraction given by:

[tex]f(x) = \frac{3}{x + 5}[/tex]

At the denominator, we have that:

x + 5 = 0 -> x = -5

Hence the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

More can be learned about asymptotes at https://brainly.com/question/16948935

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Answer: A) x= -5

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