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Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
a
x
−
3
2
x
+
1
f(x)=\dfrac{ax-3}{2x+1}
f
(
x
)
=
2
x
+
1
a
x
−
3
, where
a
a
a
is a real parameter and
x
≠
−
1
2
x\neq -\dfrac12
x
=
−
2
1
. If the inverse function
f
−
1
f^{-1}
f
−
1
passes through the point
(
5
,
2
)
(5,2)
(
5
,
2
)
, find the value of
a
a
a
. a)
4
4
4
b)
−
14
-14
−
14
c)
14
14
14
d)
5
5
5
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