If f(x)= x² + 3x, then f(1 - x) - f(x) equals?
- 4(1 - 2x)
- x²
- 1 - 2x
- None of these
Explanation
f(1 - x) = (1 - x)² + 3(1 - x) = 1 - 2x + x² + 3 - 3x = x² - 5x + 4
f(x) = x² + 3x
f(1 - x) - f(x) = (x² - 5x + 4) - (x² + 3x) = -8x + 4 = 4(1 - 2x)
Last verified on 07-05-2026
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