Easy -1.2 This is a straightforward recall question testing knowledge that cosh^{-1}(y) requires y ≥ 1. Students simply need to solve x - 3 ≥ 1 to get x ≥ 4, then select from given options. No problem-solving or multi-step reasoning required, just direct application of a standard domain restriction.
It is given that \(f(x) = \cosh^{-1}(x - 3)\)
Which of the sets listed below is the greatest possible domain of the function \(f\)?
Circle your answer.
[1 mark]
\(\{x : x \geq 4\}\) \quad \(\{x : x \geq 3\}\) \quad \(\{x : x \geq 1\}\) \quad \(\{x : x \geq 0\}\)
It is given that $f(x) = \cosh^{-1}(x - 3)$
Which of the sets listed below is the greatest possible domain of the function $f$?
Circle your answer.
[1 mark]
$\{x : x \geq 4\}$ \quad $\{x : x \geq 3\}$ \quad $\{x : x \geq 1\}$ \quad $\{x : x \geq 0\}$
\hfill \mbox{\textit{AQA Further Paper 2 2023 Q4 [1]}}