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
问题描述：
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
由题意得 a乘以5的2007次方-b乘以5的2005次方=2006-2=2004
f(-5)= -(a乘以5的2007次方-b乘以5的2005次方)+2 = -2004+2 = -2002
答
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