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Mathematics
Mathematics
Problem
Consider the function
f
:
R
→
(
5
,
∞
)
f:\mathbb{R}\to(5,\infty)
f
:
R
→
(
5
,
∞
)
defined by
f
(
x
)
=
e
x
+
5
f(x)=e^{x}+5
f
(
x
)
=
e
x
+
5
. Which of the following expresses
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
? a)
f
−
1
(
x
)
=
ln
(
x
)
+
5
f^{-1}(x)=\ln(x)+5
f
−
1
(
x
)
=
ln
(
x
)
+
5
b)
f
−
1
(
x
)
=
ln
(
x
−
5
)
f^{-1}(x)=\ln(x-5)
f
−
1
(
x
)
=
ln
(
x
−
5
)
c)
f
−
1
(
x
)
=
e
x
−
5
f^{-1}(x)=e^{x}-5
f
−
1
(
x
)
=
e
x
−
5
d)
f
−
1
(
x
)
=
ln
(
x
+
5
)
f^{-1}(x)=\ln(x+5)
f
−
1
(
x
)
=
ln
(
x
+
5
)
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