Given
f
(
x
)
=
5
x
2
+
20
x
+
26
\displaystyle {f{{\left({x}\right)}}}={5}{x}^{{2}}+{20}{x}+{26}
f
(
x
)
=
5
x
2
+
20
x
+
26
,
−
2
≤
x
≤
6
\displaystyle -{2}\le{x}\le{6}
−
2
≤
x
≤
6
.
Identify the Domain and Range of
f
−
1
(
x
)
\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}
f
−
1
(
x
)
Domain:
[
−
34
,
−
34
]
\displaystyle {\left[-{34},-{34}\right]}
[
−
34
,
−
34
]
Range:
[
−
2
,
6
]
\displaystyle {\left[-{2},{6}\right]}
[
−
2
,
6
]
Domain:
[
−
2
,
6
]
\displaystyle {\left[-{2},{6}\right]}
[
−
2
,
6
]
Range:
[
6
,
326
]
\displaystyle {\left[{6},{326}\right]}
[
6
,
326
]
Domain:
(
−
∞
,
∞
)
\displaystyle {\left(-\infty,\infty\right)}
(
−
∞
,
∞
)
Range:
(
−
∞
,
∞
)
\displaystyle {\left(-\infty,\infty\right)}
(
−
∞
,
∞
)
Domain:
[
86
,
1046
]
\displaystyle {\left[{86},{1046}\right]}
[
86
,
1046
]
Range:
[
−
2
,
6
]
\displaystyle {\left[-{2},{6}\right]}
[
−
2
,
6
]
Domain:
[
−
2
,
6
]
\displaystyle {\left[-{2},{6}\right]}
[
−
2
,
6
]
Range:
[
−
34
,
−
34
]
\displaystyle {\left[-{34},-{34}\right]}
[
−
34
,
−
34
]
Domain:
[
6
,
326
]
\displaystyle {\left[{6},{326}\right]}
[
6
,
326
]
Range:
[
−
2
,
6
]
\displaystyle {\left[-{2},{6}\right]}
[
−
2
,
6
]
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