Question:medium
Let \( f:\mathbb{R} \to \mathbb{R} \) satisfy \( f(x)f(y) = f(xy) \) for all real numbers \( x \) and \( y \). If \( f(2) = 4 \), then \( f\left(\frac{1}{2}\right) \) is
Let \( f:\mathbb{R} \to \mathbb{R} \) satisfy \( f(x)f(y) = f(xy) \) for all real numbers \( x \) and \( y \). If \( f(2) = 4 \), then \( f\left(\frac{1}{2}\right) \) is
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Always evaluate functional equations at special values like \( x=1 \).
Updated On: May 1, 2026
- \( 0 \)
- \( \frac{1}{4} \)
- \( \frac{1}{2} \)
- \( 1 \)
- \( 2 \)
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The Correct Option is B
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