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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!

Learn how to evaluate g(2/3) for the linear function g(x) = 3x - 2 using substitution. This math problem demonstrates key algebraic concepts such as linear functions and substitution. Suitable for students in Grades 8-10.

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