IBSL AA Specimen Paper 1 Q5

The functions \(f\) and \(g\) are defined such that \(f(x) = \frac{x + 3}{4}\) and \(g(x) = 8x + 5\).

1. Show that \( (g \circ f)(x) = 2x + 11\).

   [2]

2. Given that \( (g \circ f)^{-1}(a) = 4\), find the value of \(a\).

   [3]