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f-z-3z-1-2-4z-f-f-z-




Question Number 47394 by gunawan last updated on 09/Nov/18
f(z)=((3z+1)/(2−4z))  f(f(z))=...
f(z)=3z+124zf(f(z))=
Commented by maxmathsup by imad last updated on 10/Nov/18
fof(z) =((3f(z)+1)/(2−4f(z)))= ((3((3z+1)/(2−4z)) +1)/(2−4 ((3z+1)/(2−4z)))) =((9z+3+2−4z)/(4−8z−12z−4)) =((5z+5)/(−20z))  ⇒fof(z) =−((z+1)/(4z)) .
fof(z)=3f(z)+124f(z)=33z+124z+1243z+124z=9z+3+24z48z12z4=5z+520zfof(z)=z+14z.
Answered by ajfour last updated on 09/Nov/18
f(f(z))=((3(((3z+1)/(2−4z)))+1)/(2−4(((3z+1)/(2−4z)))))         = ((5z+5)/(−20z)) = −(((z+1)/(4z))) .
f(f(z))=3(3z+124z)+124(3z+124z)=5z+520z=(z+14z).

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