Answer:
For the domain there is only the restriction that
x
≠
2
1
2
This would make the numerator
=
0
Explanation:
In the "language" we say:
lim
x
→
2
1
2
g
(
x
)
=
∞
and
x
=
2
1
2
is the vertical asymptote
As
x
gets larger the function will tend to look more and more like
3
x
2
x
=
1
1
2
without quite getting there, or:
lim
x
→
∞
g
(
x
)
=
1
1
2
or
g
(
x
)
=
1
1
2
is the horizontal asymptote
So the range has as only restriction
g
(
x
)
≠
1
1
2
graph{3x/(2x-5) [-10.98, 21.04, -5.92, 10.1
