Respuesta :

clarch19

Answer:

x = -5

Step-by-step explanation:

each curve will get increasingly closer to -5 but never reach it

if you look at the function, f(x) = 3/(x+5),  x≠ -5 because then the denominator would be zero and that is never possible

The vertical asymptote of the function will  be [tex]x=-5[/tex].

What is vertical asymptote?

A vertical asymptote is a vertical line i.e. as approaches from either the positive or negative side, the function approaches infinity. Vertical asymptotes occur at the values where a rational function has a denominator of 0.

We have,

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

So,

As the above definition says,

A Vertical asymptote of a function is a vertical line [tex]x=k[/tex], where [tex]f(x)[/tex] becomes unbounded.

So,

Vertical asymptote for given figure and given function is ,

[tex]x=-5[/tex],

Hence we can say that the vertical asymptote of the function will  be [tex]x=-5[/tex].

To learn more about Vertical asymptote click here

https://brainly.com/question/4084552

#SPJ2

Otras preguntas