Inverses of Exponential Functions
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Find the inverse of
f
(
x
)
=
12
2
x
+
1
f(x) = 12^{2x+1}
f
(
x
)
=
1
2
2
x
+
1
.
QUESTION
Find the inverse of
f
(
x
)
=
e
x
+
2
f(x) = e^{x+2}
f
(
x
)
=
e
x
+
2
.
QUESTION
Identify the inverse of
f
(
x
)
=
9
x
−
4
f(x) = 9^{x-4}
f
(
x
)
=
9
x
−
4
.
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ANSWER
The inverse is
f
−
1
(
x
)
=
log
9
(
x
)
+
4
f^{-1}(x) = \text{log}_9(x) + 4
f
−
1
(
x
)
=
log
9
(
x
)
+
4
. Subtract 4 from exponent, so add 4 to inverse.
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