functions

let f(x,y) be a periodic function satisfying the condition f(x,y)=f((2x+2y),(2y-2x)) x,y →R now define a function g by g(x)=f(2x,0) .

17 Answers

1
Optimus Prime ·

u have define a function g(x)=f(2x,0)

13
deepanshu001 agarwal ·

i hav AD i ll chek

62
Lokesh Verma ·

I commented once on thsi one and then deleted..

I remember a very wonderful question on this one from A Dasgupta..

I dont remember the exact question otherwise I wud have given it..

I am sure Amit you are missing something out!

1
Optimus Prime ·

ok forget it

1
Akand ·

wel...........y=x....and 2x=4x..........hehe thts all i cud make out...

so x=4 hehe

1
Optimus Prime ·

ohh sorry,but prophet sir have u got what i wanted??

1
Akand ·

amit give respect...........The prophet is a teacher..........

1
Optimus Prime ·

aree u have to show how g(x)=f(2x, 0)

341
Hari Shankar ·

ok gr8, there is g(x) = f(2x,0). incidentally defined by you.

Now how can we help you? What is it you want?

1
Optimus Prime ·

solve it

1
Optimus Prime ·

no options are given and prophet i have given in the question that f(x,y) is a periodic function

341
Hari Shankar ·

amit you will have to be clear. and please dont answer in monosyllables

eg. post no.6 should ideally have been: "I am afraid no options have been given" instead of a curt "no" which could be interpreted as "Options are there, but I dont care to give them to you".

Please clarify:

(a) Is it given in the original problem that f is periodic? Please check

(b) What is it you want us to find about g(x)?

1
Akand ·

wel i have a doubt..........
in this question

when we take x=y=1....
then f(1)=(4,0)
but...g(1)=(2,0).........but f(1)=(4,0).......man i cant understnad

1
Optimus Prime ·

no

13
deepanshu001 agarwal ·

can u plz post the options

1
Optimus Prime ·

ya

39
Dr.House ·

u want us to find g(x) ?

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