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fog-1-x-3x-2-gof-x-2x-1-find-f-x-and-fof-3-

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Question Number 190137 by mustafazaheen last updated on 28/Mar/23
{ ((fog^(−1) (x)=3x+2)),((gof(x)=2x−1)) :} find f(x)=? and fof(3)=?
{fog−1(x)=3x+2gof(x)=2x−1findf(x)=?andfof(3)=?
Answered by 073 last updated on 28/Mar/23
f(x)=g^(−1) (2x−1) g^(−1) (x)=f(((x+1)/2)) fof(((x+1)/2))=3x+2 fof(x)=6x−1 fof(3)=18−1=17 fof(3)=17 Math lover
f(x)=g−1(2x−1)g−1(x)=f(x+12)fof(x+12)=3x+2fof(x)=6x−1fof(3)=18−1=17fof(3)=17Mathlover
Answered by cortano12 last updated on 28/Mar/23
{ (((fog^(−1) )(x)=3x+2)),(((gof)(x)=2x−1)) :} ⇒f(g^(−1) (gof))(x)=3(2x−1)+2 ⇒f(f(x))=6x−1 ⇒f(f(3))=6.3−1=17
{(fog−1)(x)=3x+2(gof)(x)=2x−1⇒f(g−1(gof))(x)=3(2x−1)+2⇒f(f(x))=6x−1⇒f(f(3))=6.3−1=17

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