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Question Number 169922 by cortano1 last updated on 12/May/22
Letf(x)=2x−7x+1.Computef1989(x).notef2(x)=f(f(x))
Answered by floor(10²Eta[1]) last updated on 12/May/22
f(f(x))=f(2x−7x+1)=22x−7x+1−72x−7x+1+1=−3x−213x−6=−x−7x−2f3(x)=f(−x−7x−2)=−2x+7x−2−7−x−7x−2+1=9x−9=−x⇒f6(x)=f3(−x)=x⇒fn(x)=−x,n=3a,aisodd⇒fn(x)=x,n=3b,biseven⇒f1989(x)=−x
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