is soln me bahuuut galti or say assumption hai... but answer sahi aata hai is method se... :P
Engl:there are many assumptions and so called mistakes here but answer is right :p
Q 1. A function f : R->R , find the interval for alpha...such that f is onto........
f(x)=(αx2+6x-8)/(α+6x-8x2)
Q 2. If f(x) + f(y) + f(xy) = 2 + f(x)f(y).......for all real x & y.......... f(x) is a polynomial.......f(4) = 17.....find f(5).....
yes i also posted a long post where i tried to prove that the odd terms are zero...
This is from A Dasgupta which has also given a very stupid justification for the proof.!
is soln me bahuuut galti or say assumption hai... but answer sahi aata hai is method se... :P
Engl:there are many assumptions and so called mistakes here but answer is right :p
Soln 2.
Since f(x) is polynomial so it is differentiable througout..
so..
Lol... "my theorem"
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hey ankit i was having doubt with Q1 before posting but after posting when i solved it i got the answer!!!!
sankara actually i have got doubt on Q1 thats y i posted it here and after posting when i tried i got the answer unique's answer for Q1 is correct.....
ankit pls give the soln for q2
i made a guessing by assuming the f(x)=x2+1 yaar
sankara actually i have got doubt on Q1 thats y i posted it here and after posting when i tried i got the answer unique's answer for Q1 is correct.....
solved at : http://www.goiit.com/posts/list/differential-calculus-functions-2-ques-906668.htm
ans for q2) is 26.