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


When the Gleo Retro (a trendy commuter car) is brand new, it costs $23,500. Each year it loses 15 % of its value. What will the car be worth when it is 15 years old?

A mountain has an elevation of 19,389 feet in 1918, the glacier on this peak covered 4 acres. By 2003 this glacier had melted to 1 acre. What was the yearlyrate of change and what

Earthquake Intensity Commonly the Richter scale is utilized to measure the intensity of an earthquake. There are several different ways of computing this depend on a variety of

If there is 1/4 of item X for every 7/12 of item Y, how much of item X is there for 7/10 of item Y?

Multiply a Row by a Constant.   In this operation we multiply row i by a constant c and the notation will utilizes here is cR i .  Note that we can also divide a row by a constant

Solve 2x2 = 128. (Points : 1) {±8} {±6} {±64} {±32}

Solve a quadratic equation through completing the square Now it's time to see how we employ completing the square to solve out a quadratic equation. The procedure is best seen