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Mathematics
Mathematics
Problem
Given the function
f
(
x
)
=
1
2
log
4
(
x
+
2
)
−
3
f(x)=\dfrac12\,\log_4(x+2)-3
f
(
x
)
=
2
1
lo
g
4
(
x
+
2
)
−
3
, answer the following: (i) Find
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. (ii) State the domain of
f
f
f
. (iii) State the range of
f
−
1
f^{-1}
f
−
1
.
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