g(x)=1-2x,f[g(x)]= (1-x^2)/x^2 (x不=0),则f(1/2)=?

热心网友

f[g(x)]=f(1-2x)=(1-x^2)/x^2设 y=1-2x,so x=(1-y)/2,代入上式得: f(y)=(3+2y-y^2)/(1-2y+y^2)当y=1/2时, f(1/2)=11

热心网友

g(x)=1-2x,f[g(x)]= (1-x^2)/x^2 (x不=0),则f(1/2)=? 设1-2x=t ,所以x=(1-t)/2所以f(t)=(3+2t+t^2)/(1-t)^2所以(1/2)=17