How do you find all the asymptotes for function g(x)=ex−2?
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0
Answer:
Solve for
x
2
−
9
=
0
Explanation:
In order to find the horizontal asymptote of a function, you have to solve it's denominator, while in order to find the vertical asymptote, you'll have to solve
y
=
a
c
, such that
y
=
a
x
+
b
c
x
+
d
. Note, the principles hold true for all degrees of
x
, so you can also use these two formulae if your function has a squared, or cubic,
x
.
To find the horizontal asymptote of
g
(
x
)
, solve the denominator part. Hence,
x
2
−
9
=
0
x
2
=
9
x
2
=
3
2
so,
x
=
3
Therefore the horizontal asymptote of
g
(
x
)
is
x
=
3
, or
x
−
3
=
0
.
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