Consider the rational function\

R(x)=(-2x^(2)+1)/(2x^(3)+8x^(2))

\ (a) Find the domain of

R

.\ (Give your answer as an interval in the form

(**,**)

. Use the symbol

\\\\infty

for infinity,

\\\\cup

fo\ type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.\ numbers in exact form. Use symbolic notation and fractions where needed.)\ domain:\ (b) Find any horizontal asymptotes of

R

.\ (Give your answer in the form of a comma-separated list of equations. Express number\ and fractions where needed.)

Consider the rational function R(x)=2x3+8x22x2+1 (a) Find the domain of R. (Give your answer as an interval in the form (,). Use the symbol for infinity, fo type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. numbers in exact form. Use symbolic notation and fractions where needed.) domain: (b) Find any horizontal asymptotes of R. (Give your answer in the form of a comma-separated list of equations. Express number and fractions where needed.)