Functions, Graphs, and Coordinate Geometry
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Free Maths Q & A Practice 1 of 5 free exam-style exercises in this topic
The functions \(f\) and \(g\) are defined by \[ f(x)=\frac{3x-1}{x+2},\ x\ne -2,\qquad g(x)=x^2-2. \] The function machine below applies \(g\) first and then the inverse function \(f^{-1}\).

2 input g first f −1 second ? output composite function (f inverse after g)


What is the value of \(\left(f^{-1}\circ g\right)(2)\)?
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