https://file.aiquickdraw.com/mathbot/file/1726073294843matsgqre.jpg

The function given is:

\[
f(x) = \frac{x - 4}{13x - 7}
\]

We are asked to find \( f(0) \). This means we substitute \( x = 0 \) into the function.

\[
f(0) = \frac{0 - 4}{13(0) - 7} = \frac{-4}{-7} = \frac{4}{7}
\]

Thus, the value of \( f(0) \) is:

\[
f(0) = \frac{4}{7}
\]

Would you like more details, or have any other questions? Here are some related questions you might find useful:

1. What is \( f(7) \)?
2. How do you calculate \( f(-4) \)?
3. What is the process to find \( f(4) \)?
4. How do you compute \( f(x+3) \)?
5. How do you evaluate \( f(a + h) \)?

**Tip:** When substituting into a function, be careful with negative signs and distribute constants correctly.

Find the function values for f(x) = (x - 4) / (13x - 7). Calculate f(0).

Learn how to find the function value f(0) for the rational function f(x) = (x - 4) / (13x - 7) by substituting x = 0 into the equation. This algebraic problem demonstrates rational function evaluation and substitution. Suitable for Grades 9-11 students.

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