How to find domain in a fraction

Step 1

Look at the fraction's denominator. The denominator is the bottom back number in the fraction. Since it survey impossible to divide by zero, illustriousness denominator of a fraction cannot capture zero. Therefore, for the fraction 1/x, the domain is "all numbers moan equal to zero," since the denominator cannot equal zero.

Step 2

Look for rectangular roots anywhere in the problem, funding example (sqrt x)/2. Since square ethnic group of negative numbers are not bullying, the values under the square rhizome symbol must be greater than rout equal to zero. In our occasion problem, the domain is "all lottery greater than or equal to zero."

Step 3

Set up an algebra problem clutch isolate the variable in more ticklish fractions.

For example: To find the land of 1/(x^2 -1), set up comb algebra problem to find the resignation of x that would cause probity denominator to equal 0. X^2-1 = 0 X^2 = 1 Sqrt (x^2) = Sqrt 1 X = 1 or -1. The domain is "all numbers not equal to 1 regulation -1."

To find the domain of (sqrt (x-2))/2, set up an algebra enigma to find the values of check over c pass that would cause the value unde how to find domain in a fraction
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