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

True inequality, We have to give one last note on interval notation before ...

We have to give one last note on interval notation before moving on to solving inequalities. Always recall that while we are writing down an interval notation for inequality that t

Solve, 15+1/2x=0.60(20+x)

15+1/2x=0.60(20+x)

Determine the solution for linear equations, Solve following equations. ...

Solve following equations.                           1/(x+1) = 1-   (5/2x - 4) Solution Just like along with the linear equations the primary thing which we're going to

Deacay, Ask quesThe above model describes the exponential decay of chemical...

Ask quesThe above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemi

Solve two-step equations, hello! at my school we are learning how to solve ...

hello! at my school we are learning how to solve two-step equations but i am having a little trouble. can you please help me?

..how would i do this ?, if a triangle with a line splitting down the middl...

if a triangle with a line splitting down the middle and the inside is k and the bottom is 15 and the two sides are 14 and 13 how would i do it

Ratios, How do you simplfly 25 and 15 if u say 5 and the teacher thinks it'...

How do you simplfly 25 and 15 if u say 5 and the teacher thinks it''s wrong?

Advantage and disadvantage of using algebraic distance, 1) The goal of the ...

1) The goal of the first questions is to implement some code that performs calibration using the method described in the book; by first computing a projection matrix, and then deco

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