For any non-zero real number x x x , let f ( x ) + 2 f ( 1 x ) = 3 x . f(x) + 2f\left(\frac{1}{x}\right) = 3x. f ( x ) + 2 f ( x 1 ​ ) = 3 x . Then, t...

Question

For any non-zero real number

xx
, let

f(x)+2f(1x)=3x.f(x) + 2f\left(\frac{1}{x}\right) = 3x.
Then, the sum of all possible values of
xx
for which
f(x)=3f(x) = 3
is:

Options

A.

2

B.

-3

C.

-2

D.

3

functional equationsrootsproblem solving

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