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

Knowing your learner, Here, we have tried to present some of the different ...

Here, we have tried to present some of the different thinking and learning processes of preschool and primary school children, in the context of mathematics learning. We have speci

Multiplacation, write and solve a problem of multiplacation that uses: esti...

write and solve a problem of multiplacation that uses: estimate explaning numbers picturs and another operation?

Trigonometry, sin^2alpha *sec^2beta +tan^2 beta *cos^2alpha=sin^2alpha+tan^...

sin^2alpha *sec^2beta +tan^2 beta *cos^2alpha=sin^2alpha+tan^2 beta

Derivatives, application of derivatives in engg.

application of derivatives in engg.

#title., Julia must do a 70:30 split of all of her profits with the Departm...

Julia must do a 70:30 split of all of her profits with the Department of Athletics. Julia also has the ability to sell soft drinks. If she decide to sell soft drinks, she must agre

Homogeneous differential equation, Assume that Y 1 (t) and Y 2 (t) are two ...

Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

Polygon on a coordinate, a square tile measures 12 inches by 12 inches each...

a square tile measures 12 inches by 12 inches each unit on a coordinate grid represents 1 inch (1,1) and (1,13) are two of the coordinate of the tile drawn on the grid what are the

Trignometry, prove that cos(a)/1-sin(a)=tan(45+A/2)

prove that cos(a)/1-sin(a)=tan(45+A/2)

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