AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Question 1
of 19
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A radioactive sample is modeled by
f
(
t
)
=
64
(
1
4
)
t
f(t)=64\left(\dfrac14\right)^t
f
(
t
)
=
64
(
4
1
)
t
, with
t
t
t
in weeks. What function represents the inverse
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
?
A
f
−
1
(
x
)
=
log
1
/
4
(
x
64
)
f^{-1}(x)=\log_{1/4}\!\left(\dfrac{x}{64}\right)
f
−
1
(
x
)
=
lo
g
1/4
(
64
x
)
B
f
−
1
(
x
)
=
64
log
1
/
4
(
x
)
f^{-1}(x)=64\log_{1/4}(x)
f
−
1
(
x
)
=
64
lo
g
1/4
(
x
)
C
f
−
1
(
x
)
=
log
64
(
x
1
/
4
)
f^{-1}(x)=\log_{64}\!\left(\dfrac{x}{1/4}\right)
f
−
1
(
x
)
=
lo
g
64
(
1/4
x
)
D
f
−
1
(
x
)
=
−
log
1
/
4
(
x
64
)
f^{-1}(x)=-\log_{1/4}\!\left(\dfrac{x}{64}\right)
f
−
1
(
x
)
=
−
lo
g
1/4
(
64
x
)
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