Answer
Equate the denominator to 0, solve the equation, then exclude the solutions of the equation from the domain.
Work Step by Step
To find the domain of a rational function, perform the following steps:
1. Equate the denominator to zero.
2. Solve the equation.
3. Exclude the solutions of the equation from the domain.
To illustrate these steps, consider the function $f(x)=\dfrac{1}{x-2}$
Performing the steps listed above gives:
1. $x-2=0$
2. $x=2$
3. The domain is $\left\{x| x\ne 0\right\}$.
