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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
2
+
3
x
2
−
4
x
f(x)=\dfrac{2x^{2}+3}{x^{2}-4x}
f
(
x
)
=
x
2
−
4
x
2
x
2
+
3
. (a) Determine the horizontal asymptote
y
=
L
y=L
y
=
L
of
f
f
f
. (b) Find all real
x
x
x
for which
f
(
x
)
=
L
f(x)=L
f
(
x
)
=
L
, i.e., the
x
x
x
-coordinate(s) where the graph intersects its horizontal asymptote.
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