Answer
To find the domain of a function defined by an equation, we look for all the $x$-values that give us an output $y$. We must find the values that cause the expression to give no solution and exclude them from the domain. We can set the denominator equal to zero to find what values make the denominator zero, exclude negative values from the radical, exclude negative values from logarithms, and find values in trigonometric expressions that do not make sense.
Work Step by Step
The domain includes all $x$-values that give an output $y$, so it is important to find values that do not meet that and exclude them.