function

JEE Main 2015 Sample Questions › Calculus questions › function

if g(x) is a polynomial satisfying g(s)g(y)=g(x)+g(y)+g(x y)-2 for all real x and y and g(2) = 5, then find g(3).

#Mathematics #Calculus

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7 Answers

1

Avinav Prakash ·2010-01-26 05:34:42

is the ans 10...i m hving prob to put up the soln

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23

qwerty ·2010-01-26 05:35:59

http://www.goiit.com/posts/list/differential-calculus-if-g-x-is-a-polynomial-satisfying-g-x-994744.htm

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Avinav Prakash ·2010-01-26 05:37:49

g(x)=x²+1.. i m unable to open the webpage..plz post the ans

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23

qwerty ·2010-01-26 05:40:14

yup ans is correct

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cute_cat ·2010-01-27 01:24:03

ya the ans is ten only....

but can u plzz try n post the solution??

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23

qwerty ·2010-01-27 03:29:06

http://www.goiit.com/posts/list/differential-calculus-if-g-x-is-a-polynomial-satisfying-g-x-994744.htm

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23

qwerty ·2010-01-27 03:33:24

if u arent able to open the site then the solution is :

[PS: this gr8 solution is given by our gr8 prophet sir [1] ]

let f(x) = g(x) - 1

then we get f(x)f(y) = f(xy)

hence f(x) = |x|^c

where c is any constant

hence g(x) = |x|^c + 1

for x = 2 , g(x) = 5

hence g(x) = x² + 1

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