How to find the restricted domain of 4x^2 divided by x^2 3x-10

Mathematics
Tutor: None Selected Time limit: 1 Day

This equation is very confusing and I don't know how to set it up to find the restricted domain. Help ????

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

 x^2 3x-10

what is the operator is between   x^2  and  3x
please answer me i will give you the solution

  

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 20th, 2015

oh the operator is a plus sign sorry i forgot

Sep 20th, 2015

you still there

Sep 20th, 2015

yes i am here i will give you the answer just wait : 

you want i find the restricted domain of : 

4x²/x²+3x-10

?????????????????????

Sep 20th, 2015

yes

Sep 20th, 2015

ok just wait 

Sep 20th, 2015

k

Sep 20th, 2015

should the x²+3x-10 =/= 0 

delta = 9 + 40 = 49 > 0 

so : 

x1 = (-3-7)/2 = -5 

x2 = (-3+7)/2 = 2

so : 

the domain is : 

Df = ] -infinity , -5 [U] -5 , 2 [U] 2, +infinity [  

if you don't understand something just ask 

Good Luck 

Sep 20th, 2015

yehhh can you explain how you just did that

Sep 20th, 2015

we have :  f(x) = 4x²/x²+3x-10

if we want to find the domain of f should  x²+3x-10 =/= 0 

and we find the two solution of  x²+3x-10 = 0   so :   (x + 5)(x - 2) =/= 0 

so :   x =/= -5  or  x =/= 2 

so : 

for the function f(x)   will define must   

x =/= 2,-5

so : 

x c ] -infinity , -5 [U] -5 , 2 [U] 2, +infinity [ 

so : 

Df = ] -infinity , -5 [U] -5 , 2 [U] 2, +infinity [  OR  Df = IR \ {-5,2}   OR  Df = IR - {-5,2}


Sep 20th, 2015

Each time you have any other question just invite me i will give you the best answer with a good price 

i glad to work withe you 

Sep 20th, 2015

thank you!!!

Sep 20th, 2015

Your welcome 

Sep 20th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 3rd, 2015
...
Oct 3rd, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer