Algebra I: Finding the domain of function
 This is a free lesson from our course in Algebra I

 This lesson explains how to find a function's domain from its equation. If a function f is defined by an expression with variable x, then the domain is the set of all real numbers that can be substituted for x such that the resulting value of the function is a real number. E.g. if you've to find the domain of the function f(x) = x + 3, you can see that there is no restriction on x as all values of x as long as it is a real number, lead to a real number for f(x). Hence, the domain of this function is the set of all real numbers. Also, the set of all correspondence values of f(x) is called range.E.g. Find the domain of function f defined by f (x) = 1 / ( x - 1) Solution: x can take any real number except 1 since x = 1 would make the denominator equal to zero and the division by zero is not allowed. Hence the domain in interval notation is given by (- , 1) U (1 , +).
Other useful lessons:
 Types of functions One to many relationship Finding the domain and range of the functions Identify if the graph is a function or not Finding the domain and range of an equation Determine domain and range from a finite set of ordered pairs
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