Give the equations of any vertical asymptotes for the graphs of the rational functions.
-$$f ( x ) = \frac { 5 x + 2 } { 5 x - 3 }$$
A) $x = \frac { 3 } { 5 }$
B) $x = 1$
C) $x = - \frac { 5 } { 3 }$
D) $x = \frac { 5 } { 3 }$

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator of a rational function is zero (and the numerator is not zero at those points). For $f(x) = \frac{5x + 2}{5x - 3}$, setting the denominator equal to zero gives $5x - 3 = 0$, which solves to $x = \frac{3}{5}$.

Give the Equations of Any Vertical Asymptotes for the Graphs f(x)=5x+25x−3f ( x ) = \frac { 5 x + 2 } { 5 x - 3 }f(x)=5x−35x+2​

Give the Equations of Any Vertical Asymptotes for the Graphs $f ( x ) = \frac { 5 x + 2 } { 5 x - 3 }$