Final answer:
To calculate the domain of an equation, identify any restrictions on the variable and find the values that make the equation undefined or produce complex numbers. Write the domain in interval notation or set notation.
Step-by-step explanation:
To calculate the domain of an equation, we need to determine the set of all possible input values that will produce a valid output. The domain is often represented by the set of real numbers. Here are the general steps:
- Identify any restrictions on the variable, such as values that would result in division by zero or non-real outputs.
- Find the values that make the equation undefined or produce complex numbers.
- Write the domain in interval notation or set notation.
For example, in the equation y = sqrt(x), the domain would be all non-negative real numbers, since taking the square root of a negative number would result in a complex number.