- #1
nokia8650
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The functions f and g are defined by:
f(x) = x^2 - 2x +3
g(x) = k(x^2) + 1
Given that gf(2) = 16, find the value of k
My solution:
f(2) = 3
g(3) = 9k +1
9k + 1 = 16
k = 15/9
However, the markscheme quotes "16=3k+1" therefore k =5.
I am unable to understand how the markscheme came to this conclusion, please can someonebody help with this. The markscheme may have a mistake, which is what I am thinking!
Thanks
f(x) = x^2 - 2x +3
g(x) = k(x^2) + 1
Given that gf(2) = 16, find the value of k
My solution:
f(2) = 3
g(3) = 9k +1
9k + 1 = 16
k = 15/9
However, the markscheme quotes "16=3k+1" therefore k =5.
I am unable to understand how the markscheme came to this conclusion, please can someonebody help with this. The markscheme may have a mistake, which is what I am thinking!
Thanks