AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Question 1
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Based on the discussion of inverse functions, which function is the inverse of
f
(
x
)
=
3
⋅
2
x
−
5
f(x)=3\cdot 2^{x}-5
f
(
x
)
=
3
⋅
2
x
−
5
?
A
f
−
1
(
x
)
=
log
2
(
x
−
5
3
)
f^{-1}(x)=\log_{2}\!\left(\dfrac{x-5}{3}\right)
f
−
1
(
x
)
=
lo
g
2
(
3
x
−
5
)
B
f
−
1
(
x
)
=
log
2
(
x
+
5
3
)
f^{-1}(x)=\log_{2}\!\left(\dfrac{x+5}{3}\right)
f
−
1
(
x
)
=
lo
g
2
(
3
x
+
5
)
C
f
−
1
(
x
)
=
1
3
⋅
2
x
−
5
f^{-1}(x)=\dfrac{1}{3\cdot 2^{x}-5}
f
−
1
(
x
)
=
3
⋅
2
x
−
5
1
D
f
−
1
(
x
)
=
x
+
5
3
⋅
2
f^{-1}(x)=\dfrac{x+5}{3}\cdot 2
f
−
1
(
x
)
=
3
x
+
5
⋅
2
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