For which of the following functions \(f\) is \(f(x) = f(1-x)\) for all \(x?\)

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A

B

C

D

E

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For which of the following functions \(f\) is \(f(x) = f(1-x)\) for all \(x?\)

A. \(f(x)=1−x\)

B. \(f(x)=1-x^2\)

C. \(f(x)=x^2-(1-x)^2\)

D. \(f(x)=x^2(1-x)^2\)

E. \(f(x)=\dfrac{x}{1-x}\)

Answer: D

Source: GMAT Prep
Source: — Problem Solving |