f(x)=ax+b/2x-1 (x≠1/2) 求f[f(x)]=2x

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f(x)=ax+b/2x-1 (x≠1/2) 求f[f(x)]=2x
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f(x)=ax+b/2x-1 (x≠1/2) 求f[f(x)]=2x
f(x)=ax+b/2x-1 (x≠1/2) 求f[f(x)]=2x

f(x)=ax+b/2x-1 (x≠1/2) 求f[f(x)]=2x
f(x)=ax+b/2x-1 f[f(x)]=af(x)+b/2f(x)-1=2x [af(x)+b]/[2f(x)-1]=2x af(x)+b=4f(x)x-2x af(x)-4f(x)x=-2x-b 4f(x)x-af(x)=2x+b (4x-a)f(x)=2x+b f(x)=(2x-b)/(4x-a),x不等于a/4