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Mathematics
Mathematics
Problem
Consider the function
g
(
x
)
=
log
2
(
x
2
−
5
x
+
6
)
g(x)=\log_{2}(x^{2}-5x+6)
g
(
x
)
=
lo
g
2
(
x
2
−
5
x
+
6
)
. (i) Find the domain of
g
g
g
. (ii) State the range of
g
g
g
. (iii) If the domain of
g
g
g
is restricted to the interval
[
0
,
5
]
[0,5]
[
0
,
5
]
, write the new domain and the corresponding range.
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