求函数fx=(x+5)(x+2)/x+1(x

题目

求函数fx=(x+5)(x+2)/x+1(x
快的才最佳

答案

f(x) = (x+5)(x+2)/(x+1)
= (x² + 7x + 10)/(x+1)
=(x²+2x +1 +5x + 5 + 4)/(x+1)
=((x+1)² + 5(x+1) + 4)/(x+1)
=x + 1 + 5 + 4/(x+1)
=(x+1) + 4/(x+1) +5