How to find the domain of a rational function
Polynomial functions
For this type of functions (without variables in the denominator), the domain is all real numbers.
Domain ---> all real numbers (-∞,+∞)
Rational functions
A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.
So:
to find the domain of this type of functions (fractions with a variable in the denominator), set the bottom equal to zero and exclude the x value you find when you solve the equation.
Domain ---> set bottom ≠0
how to find the domain of a function
Questions
Find the domain of the function:
Find the domain of the function: