ajreyes2704 ajreyes2704
  • 06-03-2021
  • Mathematics
contestada

At what value of x does the graph of the following function F(x) have a
vertical asymptote?
A. 2
B. 2
C. -1
D. 0

At what value of x does the graph of the following function Fx have a vertical asymptote A 2 B 2 C 1 D 0 class=

Respuesta :

erinna erinna
  • 11-03-2021

Given:

The function is

[tex]F(x)=\dfrac{1}{x+2}[/tex]

To find:

The vertical asymptote of the given function.

Solution:

Vertical asymptote are the vertical line passes thought the values for which the function is not defined.

To find the vertical asymptote, equate the denominator equal to 0.

We have,

[tex]F(x)=\dfrac{1}{x+2}[/tex]

Denominator is (x+2).

[tex]x+2=0[/tex]

[tex]x=-2[/tex]

The vertical asymptote is [tex]x=-2[/tex].

Therefore, the correct option is B.

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