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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
2
+
10
x
+
7
,
x
∈
R
f(x) = 2x^2 + 10x + 7, x \in \mathbb{R}
f
(
x
)
=
2
x
2
+
10
x
+
7
,
x
∈
R
. a. Find the largest possible domain of the form
x
≤
k
x \le k
x
≤
k
for which the inverse function,
f
−
1
f^{-1}
f
−
1
, exists. b. For the value of
k
k
k
from part
a
, find the inverse function
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
, stating its domain.
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