Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion

Algebra

Cool goIITian

Joined:	8 Apr 2009
Post:	41

18 May 2009 21:02:06 IST

0 People liked this

210

Let f: (-infinite ,o) -> (a,e) defined by f(x)=x^2+e/x^2+1 be an onto function, then a= ????

None

Let f: (-infinite ,o) -> (a,e) defined by f(x)=x^2+e/x^2+1 be an onto function, then a= ????

Share this article on:

Comments (2)

Vikram Saxena

Forum Expert

Joined: 1 Apr 2007

Posts: 3730

18 May 2009 21:45:17 IST

Like 0 people liked this

forthe f(x) to b onto the minand max. value should lie in range...

one of the values come out to be 1+ 2e^1/2.....at x²=e..... differentiate and find its zeros....

therefore its the value of a as its greater than e therefore it must b written (e,a).....!!!

rasham garg

New kid on the Block

Joined: 30 Apr 2009

Posts: 9

19 May 2009 12:51:31 IST

Like 0 people liked this

f(x) =/=y

form a quad in x

for x be real D>0 or equal to 0

-4(y-1)(y-e)>0

(y-1)(y-e)<0

y=(1,e)

a =1

plz crct me if the ans is incorrect

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor

@ INR 1,995/-

For Quick Info

Find Posts by Topics

Physics.

Topics

9390

20087

3671

2185

7614

2826

2636

Mathematics.

Chemistry.

Biology

Institutes

Parents

Board

Fun Zone