Differentiate between the vertical and horizontal asymptotes of the function.

g(x) = x-2/x -5x - 6
which of the following options represents the function's asymptotes? select all that apply.

x=2

x= 6

y=0

y=1

y=6

x= -1

vertical asymptotes at x=0

no horizontal asymtotes

Step-by-step explanation:

https://simplisico.com/share/q/OPlkHJgPrpb7WW56eMHXWLbG

c. (3,2,6) is the answer.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.