Inverse Functions
AP Precalculus · Flashcards · Recall
AP PRECALCULUS · FLASHCARDS
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QUESTION
Identify a domain restriction that makes
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
have an inverse function.
QUESTION
What is the standard algebraic procedure to find
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
from
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
?
QUESTION
What is the inverse of the logarithmic function
f
(
x
)
=
log
a
(
x
)
f(x)=\log_a(x)
f
(
x
)
=
lo
g
a
(
x
)
for
a
>
0
a>0
a
>
0
and
a
≠
1
a\ne 1
a
=
1
?
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ANSWER
f
−
1
(
x
)
=
a
x
f^{-1}(x)=a^x
f
−
1
(
x
)
=
a
x
. Exponentials and logarithms are inverse operations.
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