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Mathematics
Problem
Let
g
(
x
)
=
4
x
+
1
x
−
2
g(x)=\dfrac{4x+1}{x-2}
g
(
x
)
=
x
−
2
4
x
+
1
. a. (i) Find the domain of
g
g
g
. b. (ii) Express
x
x
x
in terms of
y
y
y
from the equation
g
(
x
)
=
y
g(x)=y
g
(
x
)
=
y
. c. (iii) Hence obtain the range of
g
g
g
and write it in interval notation.
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