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\(f(x)=\dfrac{2-x}5\) and \(g(x)=3x-2.\) If \(f(g(x))=1,\) what is the value of \(x?\)

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\(f(x)=\dfrac{2-x}5\) and \(g(x)=3x-2.\) If \(f(g(x))=1,\) what is the value of \(x?\)

by Vincen » Thu Oct 14, 2021 3:07 am

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\(f(x)=\dfrac{2-x}5\) and \(g(x)=3x-2.\) If \(f(g(x))=1,\) what is the value of \(x?\)

(A) \(-\dfrac53\)

(B) \(-\dfrac13\)

(C) \(\dfrac23\)

(D) \(1\)

(E) \(\dfrac53\)

Answer: B

Source: Manhattan GMAT
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