1. The problem is to find the domain of a function, which means determining all possible input values ($x$) for which the function is defined. 2. The domain depends on the type of function and any restrictions such as division by zero or square roots of negative numbers. 3. For example, if the function is $f(x) = \frac{1}{x-3}$, the denominator cannot be zero, so $x-3 \neq 0$ which means $x \neq 3$. 4. If the function is $g(x) = \sqrt{x+2}$, the expression inside the square root must be non-negative: $x+2 \geq 0$ so $x \geq -2$. 5. To find the domain, identify all such restrictions and write the set of all $x$ values that satisfy them. 6. In summary, the domain is all real numbers except those that make denominators zero or expressions inside even roots negative.