Determine the domain and range of function, Mathematics

Assignment Help:

Determine the domain of each of the following functions.

                        f( x ) = x - 4 / x2 - 2 x -15

Solution

With this problem we have to avoid division by zero and thus we have to determine where the denominator is zero that means solving,

x2 - 2 x -15 = ( x - 5) ( x + 3) =0

⇒  x = -3, x = 5

Thus, these are the only values of x that we have to avoid and therefore the domain is,

Domain: All real numbers except x = -3 & x = 5

 


Related Discussions:- Determine the domain and range of function

Area between curves, Area between Curves In this section we will be fi...

Area between Curves In this section we will be finding the area between two curves. There are in fact two cases that we are going to be looking at. In the first case we des

Algebria, solve and graph the solution set 7x-4 > 5x + 0

solve and graph the solution set 7x-4 > 5x + 0

Finding the side of a triangle only using equations, In triangle DEF, angle...

In triangle DEF, angle E is congruent to angle F. If side DE = 3x-6, Side EF = x+2 and Side DF = 18-5x. Find the length of side DE

Prove that ad x af=ae x ab, ABCD is a rectangle. Δ ADE and Δ ABF are two tr...

ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans:    Consider Δ ADE and Δ ABF ∠D = ∠B

Christie paid 5% sales tax purchase how much did she spend, Christie purcha...

Christie purchased a scarf marked $15.50 and gloves marked $5.50. Both items were on sale for 20% off the marked price. Christie paid 5% sales tax on her purchase. How much did she

Sketch the plot first-order integrated rate, Show that the first-order inte...

Show that the first-order integrated rate expression can be written as [A] t = [A] 0 e -n(in)t where n represents the number of elapsed halftimes. Sketch the plot of [A] 1

Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

The index of industrial production, The index of industrial production ...

The index of industrial production This is a quantity index compiled by the government. This measures changes in the volume of production in main industries. The index is a ex

What are factors, What are Factors? When you multiply several numbers t...

What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th

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