Free SAT Practice Question

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ID: SAT-MATH-AM-032
Section: SAT Math - Advanced Math
Topic: Nonlinear functions
Difficulty level: Medium

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The functions \(f\) and \(g\) are defined by \(f(x)=\dfrac{3x+k}{2}\) and \(g(x)=2x-4\), where \(k\) is a constant. If \(f\left(g(x)\right)=3x\) for all values of \(x\), what is the value of \(k\)?

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