Determine the equations of the vertical and horizontal asymptotes, if any, for

Given:

The function is:

To find:

The vertical and horizontal asymptotes of the given function.

Solution:

We have,

For vertical asymptotes, equate the denominator and 0.

So, the vertical asymptote of the given function is .

The degree of the numerator is 1 and the degree of the denominator is also 1.

Since the degrees of numerator and denominator are equal, therefore the horizontal asymptote is:

Where, a is the leading coefficient of numerator and b is the leading coefficient of denominator.

Leading coefficient of numerator is 2 and the leading coefficient of denominator is 1, so the horizontal asymptote is:

Therefore, the correct option is C.

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70