數學(Functions)@2

2009-02-06 3:51 am
If f(x) = x^2 - 2x, express f(k-2) - f(k+2) in terms of k.

回答 (1)

2009-02-06 3:58 am
✔ 最佳答案
f(x) = x^2-2x
f(k-2) = (k-2)^2-2(k-2)
= k^2-4k+4-2k+4
= k^2-6k+8
f(k+2) = (k+2)^2-2(k+2)
= k^2+4k+4-2k-4
= k^2+2k
f(k-2)-f(k+2) = (k^2-6k+8)-(k^2+2k)
= k^2-6k+8-k^2-2k
= -8k+8
[OR = -8(k-1)]


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