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Mathematics
Problem
Let
f
(
x
)
=
5
x
−
1
2
f(x)=\dfrac{5x-1}{2}
f
(
x
)
=
2
5
x
−
1
and let
g
g
g
be its inverse. Simplify the expression
g
(
f
(
g
(
f
(
x
)
)
)
)
g\bigl(f(g(f(x)))\bigr)
g
(
f
(
g
(
f
(
x
)))
)
. a)
5
x
−
1
2
\dfrac{5x-1}{2}
2
5
x
−
1
b)
2
x
+
1
5
\dfrac{2x+1}{5}
5
2
x
+
1
c)
x
x
x
d)
5
x
−
1
5x-1
5
x
−
1
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