To find \( f\left(\frac{2}{3}\right) \) for the function \( f(x) = 3x - 4 \), substitute \( x = \frac{2}{3} \) into the function:

\[
f\left(\frac{2}{3}\right) = 3\left(\frac{2}{3}\right) - 4
\]

Now, simplify:

\[
f\left(\frac{2}{3}\right) = \frac{6}{3} - 4 = 2 - 4 = -2
\]

So, \( f\left(\frac{2}{3}\right) = -2 \).

Would you like more details or have any questions?

Here are five related questions:
1. What is \( f(1) \) for the function \( f(x) = 3x - 4 \)?
2. How would you find the inverse of the function \( f(x) = 3x - 4 \)?
3. What is the slope of the function \( f(x) = 3x - 4 \)?
4. How does the function change if the constant \( -4 \) is replaced with \( +2 \)?
5. What is the value of \( f(-1) \) for the function \( f(x) = 3x - 4 \)?

**Tip:** When substituting a value into a function, make sure to follow the order of operations to simplify correctly.

Learn how to calculate f(2/3) for the function f(x) = 3x - 4 with a detailed step-by-step solution. This problem covers key algebraic concepts, including function notation and linear equations. Suitable for students in Grades 7-9.

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