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Mathematics
Problem
Consider
f
:
x
→
(
x
+
1
)
2
+
3
f : x \rightarrow (x + 1)^2 + 3
f
:
x
→
(
x
+
1
)
2
+
3
,
x
≥
−
1
x \ge -1
x
≥
−
1
. a.
a
Find
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. b.
b
Use technology to help sketch the graphs of
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
,
y
=
x
y = x
y
=
x
, and
y
=
f
−
1
(
x
)
y = f^{-1}(x)
y
=
f
−
1
(
x
)
. c.
c
State the domain and range of
f
f
f
and
f
−
1
f^{-1}
f
−
1
.
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