The graph of the function f (x) = StartFraction 6 Over x minus 3 EndFraction is shown below. On a coordinate plane, a hyperbola is shown. Both curves approach x = 3. What is the vertical asymptote of the function? x = –3 x = –2 x = 0 x = 3

Respuesta :

Answer:

D.) x=3

Step-by-step explanation:

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The function will form a vertical asymptote at [tex]x=3[/tex].

Option D: [tex]x=3[/tex] is correct.

Given:

The function is [tex]f (x) = \dfrac{ 6} { x - 3 }[/tex].

We need to find the vertical asymptote of the function.

The given function is a rational function in which the denominator is [tex]x-3[/tex].

Now, the denominator should not be equal to zero.

As the function approaches [tex]x=3[/tex], the function will lead to infinity (positive or negative).

So, the function will form a vertical asymptote at [tex]x=3[/tex].

Option D: [tex]x=3[/tex] is correct.

See the attached image.

For more details, refer to the link:

https://brainly.com/question/8493280

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