Bjehnsen1959 Bjehnsen1959
  • 11-10-2022
  • Mathematics
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How many vertical asymptotes does the graph of this function have?A.1B.2C.3D.0

How many vertical asymptotes does the graph of this function haveA1B2C3D0 class=

Respuesta :

oliviamarlowe12521 oliviamarlowe12521
  • 11-10-2022

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

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