Your AI-Powered Personal Tutor
Question

Let $f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$ be a function satisfying $f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}$ for all $x, y, f(y) \neq 0$. If $f^{\prime}(1)=2024$, then

$x f^{\prime}(x)+2024 f(x)=0$
$x f^{\prime}(x)-2023 f(x)=0$
$x f^{\prime}(x)-2024 f(x)=0$
$x f^{\prime}(x)+f(x)=2024$

Solution

Please login to view the detailed solution steps...

Go to DASH