If \( 2f(x) + f(1 - x) = x \), then what is \( f(x) \) equal to ?
- A. x - 1
- B. x - \left(\frac{1}{3}\right) ✓
- C. 2x
- D. 2x - 1
Correct Answer: B. x - \left(\frac{1}{3}\right)
Explanation
Replace x with 1-x to create a second equation: \( 2f(1-x) + f(x) = 1-x \). Solving the system of two equations for f(x) yields \( f(x) = x - \frac{1}{3} \).
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