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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
ln
x
f(x)=\ln x
f
(
x
)
=
ln
x
and
g
(
x
)
=
e
x
+
k
g(x)=e^{x}+k
g
(
x
)
=
e
x
+
k
, where
k
k
k
is an integer. The composite function
(
f
∘
g
)
(
x
)
(f\circ g)(x)
(
f
∘
g
)
(
x
)
is defined for all real
x
x
x
. What is the least integer value of
k
k
k
that satisfies this condition? a)
−
1
-1
−
1
b)
0
0
0
c)
−
2
-2
−
2
d)
1
1
1
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