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4 votes
How many vertical asymptotes does the graph of this function have? f(x)=5/3x(x+1)(x-7)

User Paul Deter
by
8.7k points

2 Answers

4 votes

Answer:

3. The answer is 3

Explanation:

6 votes

Answer:

The graph of the function has three vertical asymptotes

Explanation:

we have the function


f(x)=(5)/(3x(x+1)(x-7))

we know that

To find the vertical asymptotes of a rational function, simply set the denominator equal to 0 and solve for x.

so


3x(x+1)(x-7)=0

The values of x are x=-1,x=0, x=7

using a graphing tool

see the attached figure to better understand the problem

therefore

The graph of the function has three vertical asymptotes

How many vertical asymptotes does the graph of this function have? f(x)=5/3x(x+1)(x-example-1
User Sever Van Snugg
by
8.3k points

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