f(x)={-cosπx,x>0 f(x+1)+1,x<=0,则f(4/3)+f(-4/3)的值等于?

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f(x)={-cosπx,x>0 f(x+1)+1,x<=0,则f(4/3)+f(-4/3)的值等于?

f(x)={-cosπx,x>0 f(x+1)+1,x<=0,则f(4/3)+f(-4/3)的值等于?
f(x)={-cosπx,x>0 f(x+1)+1,x<=0,则f(4/3)+f(-4/3)的值等于?

f(x)={-cosπx,x>0 f(x+1)+1,x<=0,则f(4/3)+f(-4/3)的值等于?
f(4/3)+f(-4/3)
f(-4/3)=f(-4/3+1)+1
=f(-1/3)+1
= f(-1/3+1)+1
=f(2/3)+1
=-cos[π*(2/3)] +1
=1/2+1=3/2
f(4/3) =-cos[π*(4/3)]=1/2,
则f(4/3)+f(-4/3)=3/2+1/2=2.

为什麽f(2/3)还代入-cosπx中