Middle School

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

What is the vertical asymptote of the function?

A. x = –5

B. x = –3

C. x = 3

D. x = 5
A is the answer

The graph of the function f x 3 x 5 is shown below What is the vertical asymptote of the function A x 5 B

Answer :

The vertical asympote is the value of x that makes the denominator equal to zero:
x+5=0
Solving for x:
x+5-5=0-5
x=-5

The vertical asymptote is x=-5

Answer: Option A. x=-5

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Rewritten by : Barada

The vertical asymptote of the function f(x) = (3/x) + 5 is A. x = - 5

What are asymptotes?

A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.

By observing the graph we can conclude that the asymptote or more specifically the vertical asymptote of the function f(x) = (3/x) + 5 is at x equals to - 5.

learn more about asymptotes here :

https://brainly.com/question/17767511

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