How many vertical asymptotes does the graph of this function have?A.1B.2C.3D.0
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olution
Basically, the number of asymptotes will be the number of solutions the denominator of the function has
We are given the function
[tex]f(x)=\frac{5}{3x(x+1)(x-7)}[/tex]Solving the denominator
[tex]\begin{gathered} 3x(x+1)(x-7)=0 \\ \\ x=0,-1,7 \end{gathered}[/tex]he answer is 3 vertical asymptotes