The problem asks to evaluate the function $f(x) = \frac{150 - 20x}{x}$ at specific points: $f\left(\frac{2}{3}\right)$ and $f(-3)$.

Let's break this down step by step:

1. Given function: $f(x) = \frac{150 - 20x}{x}$

2. Finding $f\left(\frac{2}{3}\right)$: $f\left(\frac{2}{3}\right) = \frac{150 - 20\left(\frac{2}{3}\right)}{\frac{2}{3}}$ Simplifying this will give us the value.

3. Finding $f(-3)$: $f(-3) = \frac{150 - 20(-3)}{-3}$

Let's compute both values now.The results are as follows:

1. $f\left(\frac{2}{3}\right) = 205$
2. $f(-3) = -70$

Would you like further details on the steps or any clarifications?

Here are some related questions to explore further:

1. What is the domain of the function $f(x) = \frac{150 - 20x}{x}$?
2. How would you calculate $f(x)$ for other values, such as $f(1)$ or $f(0.5)$?
3. Can you graph the function $f(x)$ and analyze its behavior?
4. How does the function behave as $x \to 0$?
5. Can you factor or simplify $f(x)$ in any other way?

Tip: Always check the domain of rational functions, as division by zero can create undefined points.