Question
Let g(x) be a polynomial function satisfying g(x).g(y) equal to g(x) + g(y) + g(xy)-2 for all x, y belongs to R and g(1) not equal to 1 . If g(3) equal to 10 then g(5) equals a. -24 b. 16 c. 26 d. 34Read 2 Solution.
put x=1, y=1
then g(1) = 2
g(3) =10 (given)
so g(x) = x2 +1
therefore g(5) = 52 +1 = 26
Best SolutionHIMANSHU MITTAL 12 year ago
is this solution helpfull: 9 7
g(x) can also be equal to 4*x-2
g(1)=4*1-2=2
g(3)=4*3-2=10
g(5)=4*5-2=18
It seems the question is not defined properly. Data not suficient to answer.
MATHIVANAN PALRAJ 6 year ago
is this solution helpfull: 0 6