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Problem
Problem
The function
g
(
x
)
g(x)
g
(
x
)
results when
y
=
1
x
y = \frac{1}{x}
y
=
x
1
is transformed by a vertical stretch with scale factor 2, followed by a translation of
(
3
−
2
)
\begin{pmatrix} 3 \\ -2 \end{pmatrix}
(
3
−
2
)
. a. Write an expression for
g
(
x
)
g(x)
g
(
x
)
in the form
g
(
x
)
=
a
x
+
b
c
x
+
d
g(x) = \frac{ax+b}{cx+d}
g
(
x
)
=
c
x
+
d
a
x
+
b
. b. Find the asymptotes of
y
=
g
(
x
)
y = g(x)
y
=
g
(
x
)
. c. Sketch
y
=
g
(
x
)
y = g(x)
y
=
g
(
x
)
.
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