Easy -1.2 This is a 1-mark multiple choice question testing recall of hyperbolic function domains. Students need only remember that tanh^{-1}(x) has domain (-1,1), which is |x| < 1. No calculation or problem-solving required—pure factual recall of standard function properties.
Which one of these functions has the set \(\{x : |x| < 1\}\) as its greatest possible domain?
Circle your answer.
[1 mark]
\(\cosh x\) \quad \(\cosh^{-1} x\) \quad \(\tanh x\) \quad \(\tanh^{-1} x\)
Which one of these functions has the set $\{x : |x| < 1\}$ as its greatest possible domain?
Circle your answer.
[1 mark]
$\cosh x$ \quad $\cosh^{-1} x$ \quad $\tanh x$ \quad $\tanh^{-1} x$
\hfill \mbox{\textit{AQA Further Paper 1 2019 Q1 [1]}}