find the equation of the vertical asymptote(s) of the function g(x)=x²/(x² - 10x + 21). o x = 3, x = 7 o x =…

find the equation of the vertical asymptote(s) of the function g(x)=x²/(x² - 10x + 21). o x = 3, x = 7 o x = -3, x = -7 o f(x) has no vertical asymptotes o x = 0

find the equation of the vertical asymptote(s) of the function g(x)=x²/(x² - 10x + 21). o x = 3, x = 7 o x = -3, x = -7 o f(x) has no vertical asymptotes o x = 0

Answer

Explanation:

Step1: Find denominator roots

Set the denominator $x^{2}-10x + 21=0$.

Step2: Factor the quadratic

Factor $x^{2}-10x + 21$ to $(x - 3)(x - 7)=0$.

Step3: Solve for x

Using the zero - product property, if $(x - 3)(x - 7)=0$, then $x-3=0$ or $x - 7=0$, so $x = 3$ or $x=7$. These are the vertical asymptotes of the rational function.

Answer:

A. $x = 3,x = 7$