The problem is to solve question 13: If $f(x) = x^3$, find the value of $\frac{f(5) - f(1)}{5-1}$.

1. Problem Description

The problem is to solve question 13: If $f(x) = x^3$, find the value of $\frac{f(5) - f(1)}{5-1}$.

2. Solution Steps

First, we need to calculate $f(5)$ and $f(1)$.

Since $f(x) = x^3$, we have

$f(5) = 5^3 = 125$

$f(1) = 1^3 = 1$

Then, we substitute these values into the expression:

$\frac{f(5) - f(1)}{5-1} = \frac{125 - 1}{5-1} = \frac{124}{4}$

Finally, we simplify the fraction:

$\frac{124}{4} = 31$

3. Final Answer

The value of $\frac{f(5) - f(1)}{5-1}$ is 31.