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A real-valued function f defined for nonzero real numbers satisties  f(1/x)+1/x*f(-x) = 2. What is the value of f(2)?

 Jun 14, 2021
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If x = -2

f(-1/2) + -1/2 * f(2) = 2

 

 

If x = 1/2

f(2) + 2 * f(-1/2) = 2

 

f(-1/2) + -1/2 * f(2) = 2

2 * f(-1/2) - f(2) = 4

f(2) + 2 * f(-1/2) = 2

-f(2) - f(2) = 2

f(2) = -1

 

=^._.^=

 Jun 14, 2021

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