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

Tower of hanoi problem, a) Write  a summary  on  Tower  of  Hanoi  Probl...

a) Write  a summary  on  Tower  of  Hanoi  Problem.  How  can  it  be solved using  recursion ?                  b) Amit goes to a grocery shop and purchases grocery for Rs. 23.

Mathematics Logic & Set Applications, I have a 40 question assignment for t...

I have a 40 question assignment for this topic, will you be able to complete it?

Children learn maths from each other, Children Learn From Each Other :  Th...

Children Learn From Each Other :  The other day I had gone to a, nearby school to observe the teacher-children interaction. The children were working on a problem that the teacher

Creating input- output tables, How do I create an input-output table with t...

How do I create an input-output table with the rule -12

Simultaneous equations, two rolls of carpet cost £574, the first cost £8 pe...

two rolls of carpet cost £574, the first cost £8 per meter, the second which is 7m longer costs £7 p/m. how many meters are there in each roll

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Algorithm for division helping a child grasp, E1) Why don't you think of so...

E1) Why don't you think of some activities for the same purpose now? E2) Suggest, in detail, another activity for helping a child grasp the algorithm for division. We come to

Please solve this question, The number of integral pairs (x,y) satisfying t...

The number of integral pairs (x,y) satisfying the equation x^2=y^2+1294 is a)2 b)3 c)4 d)None of these

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