STREAK
0d
LV 1
0 XP
Institute site
Problem Bank
· fe-2
Functional Equations · Substitution systems
AMC 12 style
●●●●○ 8/10
~6 min
⏱ 0:00
A function satisfies
f
(
x
)
+
2
f
(
1
x
)
=
3
x
f(x) + 2f\!\left(\tfrac{1}{x}\right) = 3x
f
(
x
)
+
2
f
(
x
1
)
=
3
x
for all
x
≠
0
x \ne 0
x
=
0
. What is
f
(
2
)
f(2)
f
(
2
)
?
substitution
system
Submit
Hint 1 of 3
Show solution
∂
Learn
Σ
Problems
⊕
Contests
↻
Review
∇
Dashboard