Answer :

Answer:

A

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x+3}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 3 = 0 → x = - 3 is the vertical asymptote

The correct answer is A. -3

When does a function have a vertical asymptode?

Vertical asymptotes occur when the denominator of a rational expression does not cancel the numerator.

  • Vertical asymptotes can be found by equating the denominator with 0

How to find the vertical asymptode?

To find the vertical asymptote we should equate the denomiantor to 0

So, according to the euation,

x + 3 = 0

⇒ x= -3

So, at x = -3 the function will have a vertical asymptote.

You will find more details on: https://brainly.com/question/1928911

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