设函数f (x)=a乘以x的2007次方-b乘以x的2005次方+2,且f(5)=2006,求f(-5)的值

题目

设函数f (x)=a乘以x的2007次方-b乘以x的2005次方+2,且f(5)=2006,求f(-5)的值
求值

答案

f(5)=a*5^2007-b*5^2005+2
a*5^2007-b*5^2005=f(5)-2=2006-2=2004
f(-5)=a*(-5)^2007-b*(-5)^2005+2
=-(a*5^2007-b*5^2005)+2
=-2004+2
=-2002