You are given the function $g(x) = 3x - 2$ and asked to find $g\left(\frac{2}{3}\right)$.

To do this, substitute $x = \frac{2}{3}$ into the function:

$g\left(\frac{2}{3}\right) = 3\left(\frac{2}{3}\right) - 2$

Simplify the expression:

$g\left(\frac{2}{3}\right) = 2 - 2 = 0$

So, $g\left(\frac{2}{3}\right) = 0$.

Would you like any further details or have any questions?

Here are 5 related questions to explore:

1. How do you graph a linear function like $g(x) = 3x - 2$?
2. What is the domain and range of $g(x) = 3x - 2$?
3. How does the slope of a linear function affect its graph?
4. What is the inverse of $g(x) = 3x - 2$?
5. How would you solve $g(x) = 0$ for $x$?

Tip: Always double-check your calculations when substituting values into a function to avoid small mistakes!