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f-1-2x-g-x-3-f-1-x-A-7-2g-1-x-B-2g-1-x-7-C-2g-1-x-5-D-5-2g-1-x-

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Question Number 11238 by Joel576 last updated on 18/Mar/17
f(1 − 2x) = g(x + 3) f^(−1) (x) = ? (A) 7 − 2g^(−1) (x) (B) 2g^(−1) (x) + 7 (C) 2g^(−1) (x) − 5 (D) 5 − 2g^(−1) (x)
f(1−2x)=g(x+3)f−1(x)=?(A)7−2g−1(x)(B)2g−1(x)+7(C)2g−1(x)−5(D)5−2g−1(x)
Answered by mrW1 last updated on 18/Mar/17
u=f(1−2x)=g(x+3) ⇒1−2x=f^(−1) (u) ...(i) ⇒x+3=g^(−1) (u) ...(ii) 2×(ii)+(i) ⇒7=f^(−1) (u)+2g^(−1) (u) ⇒f^(−1) (u)=7−2g^(−1) (u) ⇒f^(−1) (x)=7−2g^(−1) (x)
u=f(1−2x)=g(x+3)⇒1−2x=f−1(u)…(i)⇒x+3=g−1(u)…(ii)2×(ii)+(i)⇒7=f−1(u)+2g−1(u)⇒f−1(u)=7−2g−1(u)⇒f−1(x)=7−2g−1(x)
Commented by Joel576 last updated on 18/Mar/17
thank you very much
thankyouverymuch

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