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

Which quantity is bigger?, Sam is twice as old as John was two years ago. I...

Sam is twice as old as John was two years ago. If the difference between their ages be 2 years, how old is Sam today?

Quantitative methods, how quantitative analysis has changed the current sc...

how quantitative analysis has changed the current scenario in the management world today

Process for graphing a polynomial, 1. Find out all the zeroes of the polyno...

1. Find out all the zeroes of the polynomial and their multiplicity.  Utilizes the fact above to find out the x-intercept which corresponds to each zero will cross the x-axis or on

Fundamental theorem of algebra, If P (x) is a polynomial of degree n then P...

If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat. This fact says that if you list out all the zeroes & listing each one

Work- rate problems, Actually these problems are variants of the Distance/R...

Actually these problems are variants of the Distance/Rate problems which we just got done working.  The standard equation which will be required for these problems is, As y

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