Given: f(x) =
3
x
+
1
6
x
−
6
\displaystyle \frac{{{3}{x}+{1}}}{{{6}{x}-{6}}}
6
x
−
6
3
x
+
1
Find the inverse function,
f
−
1
(
x
)
\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}
f
−
1
(
x
)
.
f
−
1
(
x
)
\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}
f
−
1
(
x
)
=
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\displaystyle