determine the vertical asymptotes of the graph of the function. give your answers as equations in exact…

determine the vertical asymptotes of the graph of the function. give your answers as equations in exact form. g(a)=4a/(a^2 + 1) separate multiple equations with commas as necessary. select \none\ if applicable. equation(s) of the vertical asymptote(s):

determine the vertical asymptotes of the graph of the function. give your answers as equations in exact form. g(a)=4a/(a^2 + 1) separate multiple equations with commas as necessary. select \none\ if applicable. equation(s) of the vertical asymptote(s):

Answer

Explanation:

Step1: Recall vertical - asymptote condition

Vertical asymptotes occur where the denominator of a rational function is zero. Set the denominator equal to zero: $a^{2}+1 = 0$.

Step2: Solve the equation for $a$

Subtract 1 from both sides: $a^{2}=-1$. In the real - number system, there is no real number $a$ such that $a^{2}=-1$ since for any real number $a$, $a^{2}\geq0$.

Answer:

None