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Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 3 times x plus 2 end quantity.
(Worth 3 points)

x = −4

x equals negative two thirds

x equals two thirds

x = 4

Respuesta :

Answer:

vertical asymotote at [tex]x=\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]f(x)= \frac{x-4}{3x+2}[/tex]

vertical asymptote is the line where the graph goes close to the line but does not cross it.

To find vertical asymptote, we set the denominator =0 and solve for x

denominator is 3x+2

set 3x+2=0

Subtract 2 on both sides

[tex]3x=-2[/tex]

divide both sides by 3

[tex]x=\frac{-2}{3}[/tex]

vertical asymotote at [tex]x=\frac{-2}{3}[/tex]

Answer:

yes, x = -2/3 is correct

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