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Mathematics
Problem
Let
a
a
a
be a real parameter and consider the function
F
a
(
x
)
=
x
+
a
+
1
−
x
F_a(x)=\sqrt{x+a}+\sqrt{1-x}
F
a
(
x
)
=
x
+
a
+
1
−
x
. a. Determine all real values of
a
a
a
for which the domain of
F
a
F_a
F
a
is non-empty. b. For
a
=
2
a=2
a
=
2
, state the domain of
F
a
F_a
F
a
in interval notation.
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