已知f(x)满足f(x-2)=2x^2-3x+4,
问题描述:
已知f(x)满足f(x-2)=2x^2-3x+4,
答
设t=x-2 x=t+2 f(t)=2(t+2)^2-3(t+2)+4 =2t^2+8t+8-3t-6+4 =2t^2+5t+6 f(x)=2x^2+5x+6
已知f(x)满足f(x-2)=2x^2-3x+4,
设t=x-2 x=t+2 f(t)=2(t+2)^2-3(t+2)+4 =2t^2+8t+8-3t-6+4 =2t^2+5t+6 f(x)=2x^2+5x+6