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Question Number 192049 by sciencestudentW last updated on 06/May/23
fog(x)=4x−1 g(x)=x−2 f(x)=?
fog(x)=4x−1g(x)=x−2f(x)=?
Answered by AST last updated on 06/May/23
f(g(x))=4x−1⇒f(x−2)=4(x−2)+7 ⇒f(x)=4x+7
f(g(x))=4x−1⇒f(x−2)=4(x−2)+7⇒f(x)=4x+7
Answered by qaz last updated on 07/May/23
f○g=f○ ((x),((x−2)) )= ((x),((4x−1)) ) ⇒f= ((x),((4x−1)) ) ((x),((x−2)) )^(−1) = ((x),((4x−1)) ) (((x−2)),(x) )= (((x−2)),((4x−1)) )= ((x),((4x+7)) ) ⇒f(x)=4x+7
f∘g=f∘(xx−2)=(x4x−1)⇒f=(x4x−1)(xx−2)−1=(x4x−1)(x−2x)=(x−24x−1)=(x4x+7)⇒f(x)=4x+7

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