How do you solve for f(13) when the function is defined as f(x) = (4x + 1) / 3?

To solve for f(13) in the function f(x) = (4x + 1) / 3, follow these steps:

1. Substitute the value: Start by replacing x with 13 in the function. This gives you:

f(13) = (4(13) + 1) / 3

2. Calculate the expression: First, calculate 4 * 13. This equals 52.

f(13) = (52 + 1) / 3

3. Add the numbers together: Next, add 52 and 1, which gives you 53.

f(13) = 53 / 3

4. Divide: Now, divide 53 by 3. Performing this division gives:

f(13) = 17.6667 (approximately, or you can express it as 17 2/3 in mixed fraction format).

Thus, the final result is:

f(13) ≈ 17.67

This value represents the output of the function when the input is 13.