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
y=2/3x-1





As noted earlier most parabolas are not given in that form.  So, we have to take a look at how to graph a parabola which is in the general form.


2x-3x=16 what do i do?.


As a fundraiser a school is selling posters.The printer charges a $24 set up fee plus 0.20 for each poster. Then the cost y in dollars to print is given by the linear equation y=0.