1. The problem asks for the domain of the function $f(x) = \frac{48}{7x - 24}$. The domain is all real numbers except where the denominator is zero. 2. To find where the denominator is zero, set: $$7x - 24 = 0$$ 3. Solve for $x$: $$7x = 24$$ $$x = \frac{24}{7}$$ 4. Since division by zero is undefined, $x = \frac{24}{7}$ is excluded from the domain. 5. Therefore, the domain of $f(x)$ is all real numbers $x$ such that: $$x \neq \frac{24}{7}$$ This means the function is defined for every real number except $\frac{24}{7}$.