Let f be a function satisfying f(xy) = frac{f | vedclass

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Question

$f(x y)=\frac{f(x)}{y}$

Put $y=3 $ and $ x=10$

$f(30)=\frac{f(10)}{3} $

$\Rightarrow f(10)=3 	imes f(30)=3 	imes 20=60$

Now put $y=4 $ a

Vedclass · Accepted Answer

$15$

Vedclass · Answer

$f(x y)=\frac{f(x)}{y}$

Put $y=3 $ and $ x=10$

$f(30)=\frac{f(10)}{3} $

$\Rightarrow f(10)=3 	imes f(30)=3 	imes 20=60$

Now put $y=4 $ and $ x=10$

$f(40)=\frac{f(10)}{3}$

$ \Rightarrow f(40)=\frac{60}{4}=15$

Let $f$ be a function satisfying $f(xy) = \frac{f(x)}{y}$ for all positive real numbers $x$ and $y.$ If $ f(30) = 20,$ then the value of $f(40)$ is-

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