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Mathematics
Problem
A function
f
f
f
satisfies
f
(
x
3
)
=
x
2
+
x
+
1
f\left(\frac{x}{3}\right)=x^{2}+x+1
f
(
3
x
)
=
x
2
+
x
+
1
Find the sum of all real numbers
z
z
z
such that
f
(
3
z
)
=
7
f(3 z)=7
f
(
3
z
)
=
7
.
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