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Mathematics
Problem
The function
F
F
F
is defined by
F
(
x
)
=
5
x
−
1
2
x
+
3
+
4
F(x)=\dfrac{5x-1}{2x+3}+4
F
(
x
)
=
2
x
+
3
5
x
−
1
+
4
. a. (i) Determine the domain of
F
F
F
. b. (ii) By solving
F
(
x
)
=
y
F(x)=y
F
(
x
)
=
y
for
x
x
x
, show that
y
=
13
2
y=\dfrac{13}{2}
y
=
2
13
is not attained by the function. c. (iii) Write the complete range of
F
F
F
in interval notation.
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