f(1-x/1+x)=1-x²/1+x²,则f(x)的解析式?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 17:32:37
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f(1-x/1+x)=1-x²/1+x²,则f(x)的解析式?
f(1-x/1+x)=1-x²/1+x²,则f(x)的解析式?
f(1-x/1+x)=1-x²/1+x²,则f(x)的解析式?
令t=(1-x)/(1+x)
x=(1-t)/(1+t)
代入函数解析式得:
f(t)=[1-(1-t)²/(1+t)²]/[1+(1-t)²/(1+t)²]=2t/(1+t²)
∴f(x)=2x/(1+x²)