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

Help me, How should Shoppers’ Stop develop its demand forecasts?

How should Shoppers’ Stop develop its demand forecasts?

Geometry, can i get some triangle congruence proofs help?

can i get some triangle congruence proofs help?

Linear programming, #question.areas of applications of linear program mes t...

#question.areas of applications of linear program mes to solution to engineering problems.

Partial differential equations, I need expert who can solve 10 set of PDE w...

I need expert who can solve 10 set of PDE with constant of integration.

Circle, #question when equation of tangent T=0 and why

#question when equation of tangent T=0 and why

Find the interval of validity, Solve the subsequent IVP and find the interv...

Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 ,       y(2) = - 1,  x > 0 Solution Thus, the first thing that we re

Probability distributions, Probability Distributions Since the value of...

Probability Distributions Since the value of a random variable cannot be predicted accurately, by convention, probabilities are assigned to all the likely values that the varia

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

Quadratic equation, how to solve this? y = 7x - 12 y = x2 Solve the sy...

how to solve this? y = 7x - 12 y = x2 Solve the system using substitution.

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