Grade 11Algebra
If we Are given that F(x)=x+1/x-1 then find f[f(x)]
1 Answer
Yash SIngh
f(x)=(x+1)/(x-1)
f(f(x))={(x+1)/(x-1)+1}/{(x+1)/(x-1)-1}
=[{x+1+(x+1)}/(x-1)]/[{x+1-(x-1)}/(x-1)]
=(2x+2)/2
=x+1
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