Find out the domain of function, Algebra

Assignment Help:

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


Related Discussions:- Find out the domain of function

College algebra 158, how to master college algebra and pass with an "A"

how to master college algebra and pass with an "A"

Quadratic, how to get the perfect square

how to get the perfect square

Distance word problem, Alex lives .4 miles from the park, beth lives .8 mil...

Alex lives .4 miles from the park, beth lives .8 miles from the park. To run equal distances Alex runs 8 times around the park and Beth run 6 times around the part. Write an equati

Areas, does total surface area mean total exposed area

does total surface area mean total exposed area

Ellipses, In a earlier section we looked at graphing circles & since circle...

In a earlier section we looked at graphing circles & since circles are actually special cases of ellipses already we've got most of the tools under our belts to graph ellipses.  Al

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd