1. The problem asks if the function $f(x) = \frac{3}{x}$ can be expressed in the form $\lambda f$, where $\lambda$ is a constant scalar and $f$ is a function. 2. The form $\lambda f$ means multiplying a function $f(x)$ by a constant $\lambda$, resulting in $\lambda f(x)$. 3. Here, $f(x) = \frac{3}{x}$ is already a function. To check if it can be written as $\lambda f$, we need to see if there exists a constant $\lambda$ and a function $f$ such that $f(x) = \lambda f(x)$. 4. This implies $f(x) = \lambda f(x)$, which can only be true if $\lambda = 1$ or $f(x) = 0$ for all $x$. 5. Since $f(x) = \frac{3}{x}$ is not the zero function, the only way to write it as $\lambda f$ is with $\lambda = 1$ and $f(x) = \frac{3}{x}$ itself. 6. Therefore, $f(x) = \frac{3}{x}$ is trivially in the form $\lambda f$ with $\lambda = 1$. Final answer: Yes, $f(x) = \frac{3}{x}$ can be written as $\lambda f$ with $\lambda = 1$ and $f(x) = \frac{3}{x}$.