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If 2f(x)+f(1-x)=x , then what is f(x) equal to ?

Options

  1. Ax-1
  2. Bx- ( 1 3 )
  3. C2x
  4. D2x-1

Correct answer

B. x- ( 1 3 )

Step-by-step solution

Given equation is 2f(x) + f(1-x) = x . Replacing x with 1-x , we get: 2f(1-x) + f(x) = 1-x Multiplying the first equation by 2 , we get: 4f(x) + 2f(1-x) = 2x Subtracting the second equation from this, we get: 3f(x) = 2x - (1-x) 3f(x) = 3x - 1 f(x) = x - 1 3 Answer: x- ( 1 3 )

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