If f(g(x))=x and f(x) = 3x – 4, find g(x)
A. g(x)=(x-4)/3
B. g(x)=(x+4)/3
C. g(x)=(x/3)+4
D. g(x)=(x/3)-4

[tex]f(g(x))=x;\ f(x)=3x-4\\\\therefore3[g(x)]-4=x\ \ \ |add\ 4\ to\ both\ sides\\\\3[g(x)]=x+4\ \ \ \ |divide\ both\ sides\ by\ 3\\\\g(x)=\dfrac{x+4}{3}\\\\Answer:\boxed{B.\ g(x)=\dfrac{x+4}{3}}[/tex]

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meerkat18 meerkat18 · Answer 2 · 2016-08-19T19:16:58+02:00

meerkat18 meerkat18

19-08-2016

we can do reverse engineering to identify the function or expression of g(x). we can try each function as g(x).

a. f(g(x)) = 3*( (x-4)/3) – 4 = x-4-4 = x -8
b. f(g(x)) = 3*( (x+4)/3) – 4 = x+ 4 -4 = x

Hence the answer should be B

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If f(g(x))=x and f(x) = 3x – 4, find g(x) A. g(x)=(x-4)/3 B. g(x)=(x+4)/3 C. g(x)=(x/3)+4 D. g(x)=(x/3)-4

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If f(g(x))=x and f(x) = 3x – 4, find g(x)
A. g(x)=(x-4)/3
B. g(x)=(x+4)/3
C. g(x)=(x/3)+4
D. g(x)=(x/3)-4