Gx 3x3 7x2 2xx2 5x 6 xx 2 3x1x 3 x 2 Determine the ve

G(x) 3x^3 -7x^2 + 2x/x^2 - 5x + 6 = x(x - 2) (3x-1)/(x - 3) (x - 2) Determine the vertical asymptote equation for this function. Type the equation in standard form (as was illustrated throughout the lesson). If there is no vertical asymptote, type NONE If there is more than one vertical asymptote, separate your equations with commas Do not type any spaces.

Solution

Canceling x-2 in both numerator and denominator we have

g(x) =(x(3x-1))/(x-3)

Vertical asymptote is obtained by equating denominator to 0

x-3=0

=>x=3

Vertical asymptote is x=3