Find out the domain of function, Algebra

Find out the domain of each of the following functions.

g( x ) = x+3 /x2+ 3x -10

Solution

The domain for this function is all of the values of x for which we don't have division by zero or the square root of a -ve number.  If we remember these two ideas determining the domains will be pretty easy.

                                       g( x ) = x+ 3 / x2+ 3x -10

Thus, in this case there are no square roots therefore we don't have to worry about the square root of a -ve  number. However, there is a possibility which we'll have a division by zero error. To find out if we will we'll have to set the denominator equal to zero and solve.

                x2+3x -10 = ( x + 5) ( x - 2) = 0                               x= -5, x = 2

Thus, we will get division by zero if we plug in x = -5 or  x= 2 . This means that we'll have to avoid those two numbers. Though, all the other values of x will work as they don't give division by zero. Then the domain is,

                           Domain: All real numbers except x = -5 & x = 2

Posted Date: 4/8/2013 1:10:33 AM | Location : United States







Related Discussions:- Find out the domain of function, Assignment Help, Ask Question on Find out the domain of function, Get Answer, Expert's Help, Find out the domain of function Discussions

Write discussion on Find out the domain of function
Your posts are moderated
Related Questions
square root of j+ square root of j +14 = 3 square root j +10. what is the value of J?

Susan wants to mix 10 pounds of Virginia Peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that cost $3.40 a pound. How many pounds

if A is an ideal and phi is onto S,then phi(A)is an ideal.


Do you accept screen shot because it is a graph.



does total surface area mean total exposed area

Interval notation The next topic that we have to discuss is the idea of interval notation.  Interval notation is some very pleasant shorthand for inequalities & will be utilize

I do not understand graphing at all.