已知f(x)=ax+sin^3x+1且f(5)=7,f(-5)=
问题描述:
已知f(x)=ax+sin^3x+1且f(5)=7,f(-5)=
tong shang
答
f(x)=ax+sin^3x+1
f(-x)=a(-x)+sin^3(-x)+1=-(ax+sin^3x)+1
所以f(x)+f(-x)=0+2
f(-x)=2-f(x)
所以f(-5)=2-f(5)=2-7=-5