f(x) × f(y) = f(x × y). If f(3) = 5, then what is the value of f(1/3)?
Explanation:
Given, f(x) × f(y) = f(x × y) and f(3) = 5.
Substitute y = 1, we get
f(x) × f(1) = f(x × 1)
⇒ f(x) × f(1) = f(x)
⇒ f(1) = 1
Now, substitute x = 3 and y = 1/3, we get
f(3) × f(1/3) = f(3 × 1/3)
⇒ 5 × f(1/3) = f(1) = 1
⇒ f(1/3) = 1/5
Hence, option (b).
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