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Question 68 - Algebra Practice | Prasnya
Q68
00:00
24 Nov 2024
Q68.
For any non-zero real number
x
x
x
, let
f
(
x
)
+
2
f
(
1
x
)
=
3
x
f(x) + 2f\left(\dfrac{1}{x}\right) = 3x
f
(
x
)
+
2
f
(
x
1
)
=
3
x
. Then, the sum of all possible values of
x
x
x
for which
f
(
x
)
=
3
f(x) = 3
f
(
x
)
=
3
, is
A
−
2
-2
−
2
B
3
3
3
C
2
2
2
D
−
3
-3
−
3
Save
Check
Details
Q68
00:00
24 Nov 2024
Q68.
For any non-zero real number
x
x
x
, let
f
(
x
)
+
2
f
(
1
x
)
=
3
x
f(x) + 2f\left(\dfrac{1}{x}\right) = 3x
f
(
x
)
+
2
f
(
x
1
)
=
3
x
. Then, the sum of all possible values of
x
x
x
for which
f
(
x
)
=
3
f(x) = 3
f
(
x
)
=
3
, is
A
−
2
-2
−
2
B
3
3
3
C
2
2
2
D
−
3
-3
−
3
Save
Check
Details