Instruction

1

The first step in finding the region

**of definition***of the expression*can make an exception for division by zero. If the expression contains a denominator which can vanish, you must find all the values at which it becomes zero, and exclude them.Example: 1/x. The denominator vanishes at x = 0. 0 will not be included in the scope**of the definition***of the expression*.(x-2)/((x^2)-3x+2). The denominator vanishes at x = 1 and x = 2. These values will not be included in the scope**of the definition***of the expression*.2

The expression may also contain a variety of irrationality. If

*the expression*consists of roots of even degree, radical*expression*must be non-negative.Examples: 2+v(x-4). Hence, x?4 - area**definition**of the given*expression*. x^(1/4) is the fourth root of x. Hence, x?0 - area**definition**of the given*expression*.3

In

*the expression*x involving logarithms, it is necessary to remember that the log base a is defined for α>0 except for a=1. The expression under the sign of logarithm must be greater than zero.4

If the expression contains functions of arcsine or arccosine, the value

*of the expression*under the sign of this function should be limited to -1 left and 1 right. Hence, you need to find the area**of the definition**of this*expression*.5

The expression may appear as division and square root. While region

**determine**all*of the expression*necessary to consider all factors that may lead to the restriction of this region. Deleting all unmatched values, you need to record area**definition**.**Region****definition**can accept any valid values in the absence of specific points.