Given the function \( f(x) = 2x - 4 \), we need to find \( f\left( \frac{4}{3} \right) \).

To do this, substitute \( x = \frac{4}{3} \) into the function:

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

\[
= \frac{8}{3} - 4
\]

Convert 4 into a fraction with denominator 3:

\[
= \frac{8}{3} - \frac{12}{3}
\]

Now subtract:

\[
= \frac{8 - 12}{3} = \frac{-4}{3}
\]

Thus, \( f\left( \frac{4}{3} \right) = \frac{-4}{3} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the slope of the linear function \( f(x) = 2x - 4 \)?
2. How would you find the x-intercept of the function \( f(x) = 2x - 4 \)?
3. What is \( f(0) \) for the function \( f(x) = 2x - 4 \)?
4. If \( f(x) = 2x - 4 \), for which value of \( x \) does \( f(x) = 0 \)?
5. How do you graph the function \( f(x) = 2x - 4 \)?

**Tip**: For linear functions like \( f(x) = 2x - 4 \), the slope is constant and gives the rate of change.

Learn how to find f(4/3) for the linear function f(x) = 2x - 4 with a step-by-step solution. This problem covers essential algebra concepts related to linear functions, substitution, and fraction operations. Suitable for students in Grades 6-8.

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