Moderate -0.3 This is a straightforward inverse function question requiring completing the square (a standard technique) and solving for x. The domain restriction x > 4 makes it routine. Slightly easier than average as it's a well-practiced procedure with clear steps and no conceptual surprises.
2 The function g is defined by \(\mathrm { g } ( x ) = x ^ { 2 } - 6 x + 7\) for \(x > 4\). By first completing the square, find an expression for \(\mathrm { g } ^ { - 1 } ( x )\) and state the domain of \(\mathrm { g } ^ { - 1 }\).
2 The function g is defined by $\mathrm { g } ( x ) = x ^ { 2 } - 6 x + 7$ for $x > 4$. By first completing the square, find an expression for $\mathrm { g } ^ { - 1 } ( x )$ and state the domain of $\mathrm { g } ^ { - 1 }$.\\
\hfill \mbox{\textit{CAIE P1 2019 Q2 [5]}}