domain:
v. a:
roots:
y-int:
h. a:
holes:
o. a:

also, draw on the graph attached.

i) The given function is

The domain is

ii) For vertical asymptotes, we simplify the function to get;

The vertical asymptote occurs at

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

iv) To find the y-intercept, we substitute into the reduced fraction.

v) The horizontal asymptote is given by;

The horizontal asymptote is .

vi) The function has a hole at .

Thus at .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: