Domain, roots, holes of a function?

Question

f(x) = -8x^3 -22x^2 +58x +72
-----------------------------
-2x^3 -4x^2 +58x +60



The domain of the function f(x) in interval notation = ?

The roots of the function = ?

Hole at the location ( ? , ? )

Any help would be great thanks!

Answer 1

-8x^3 -22x^2 +58x +72=0
==>
x=9/4 or
x=-1 or
x=-4
-2x^3 -4x^2 +58x +60=0
==>
x=(sqrt(1201)+29)/6
or
x=(-sqrt(1201)+29)/6
domain of the function is
lR - {(sqrt(1201)+29)/6,(-sqrt(1201)+29)/6}
holes of the function are
(sqrt(1201)+29)/6 and (-sqrt(1201)+29)/6
roots of the function are
9/4 and -1 and -4
Sorry for my English

Answer 2

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