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the question says....."Express 6x-x2 in the form a-(x-b)2"...if the answer is (x+3)2 -9 ...it simplifies to x2 + 6x + 9 -9 = x2 + 6x but the question says that it shud be -x2 + 6xfor this the answer should be...9 - (x-3)2 which simplifies to 9 - (x2 - 6x + 9)==> 9 - x2 + 6x - 9 = -x2 + 6x
it says express it in the form of a - (x-b)^2 9 - (x-3)^2therefore a = 9 b = 3
yah...try the mininimum point wala q..i'm not gettingd answer for that....
slvri has answered it correctly....it says find the values of x for which f(x) is greater than 15
hey nid.......need any other q's solved?
ya slvri...this one...this q wasnt answered..." f is defined by: f:x > 3x-2 for x E R g is defined by: g:x >6x-x2 for x E RExpress gf(x) in terms of x, and hence show that the maximum value of gf(x) is 9."
can we find out the maximum point by differentiation?
differentiating becomes much easiergf(x)=16+30x-9x2when u differentiate-18x2+30x=-5/3substitute in the equation you get max value of gf(x) as 9