Question

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

Answer 1

Answer:

vertical asymotote at $x=\frac{-2}{3}$

Step-by-step explanation:

$f(x)= \frac{x-4}{3x+2}$

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

$3x=-2$

divide both sides by 3

$x=\frac{-2}{3}$

vertical asymotote at $x=\frac{-2}{3}$

Answer 2

Answer:

yes, x = -2/3 is correct