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The problem asks to determine the value of \( f(1) \) for the function:

\[
f(x) = \frac{5x + 1}{2x - 9}
\]

### Solution:
To find \( f(1) \), we substitute \( x = 1 \) into the function.

\[
f(1) = \frac{5(1) + 1}{2(1) - 9}
\]

Simplifying:

\[
f(1) = \frac{5 + 1}{2 - 9} = \frac{6}{-7} = -\frac{6}{7}
\]

Thus, the value of \( f(1) \) is:

\[
f(1) = -\frac{6}{7}
\]

Would you like more details on the steps, or do you have any other questions?

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Here are some related questions to deepen your understanding:

1. What is the domain of the function \( f(x) = \frac{5x + 1}{2x - 9} \)?
2. How would you calculate \( f(a) \) for any arbitrary value \( a \)?
3. What is the asymptote of the function \( f(x) \)?
4. How would the function change if the numerator was \( 5x - 1 \) instead?
5. How can you determine whether the function is increasing or decreasing?

**Tip:** Always check for restrictions on the domain by ensuring that the denominator of a function never equals zero!

Diketahui fungsi f(x) = (5x + 1) / (2x - 9). Tentukan nilai dari f(1).

Learn how to find the value of f(1) for the rational function f(x) = (5x + 1) / (2x - 9). This solution involves basic algebraic concepts, such as functions and rational expressions. Suitable for students in Grades 10-12.

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