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Mathematics
Mathematics
Problem
For
x
≠
1
5
x\neq \dfrac15
x
=
5
1
, the function
f
f
f
is defined by
f
(
x
)
=
3
x
+
2
5
x
−
1
f(x)=\dfrac{3x+2}{5x-1}
f
(
x
)
=
5
x
−
1
3
x
+
2
. Determine
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. a)
5
x
−
1
3
x
+
2
\dfrac{5x-1}{3x+2}
3
x
+
2
5
x
−
1
b)
x
+
2
5
x
+
3
\dfrac{x+2}{5x+3}
5
x
+
3
x
+
2
c)
x
+
2
5
x
−
3
\dfrac{x+2}{5x-3}
5
x
−
3
x
+
2
d)
x
−
2
5
x
−
3
\dfrac{x-2}{5x-3}
5
x
−
3
x
−
2
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