2 The function f is defined by \(\mathrm { f } ( x ) = \mathrm { e } ^ { x } + 1\) for \(x \in \mathbb { R }\) Find an expression for \(\mathrm { f } ^ { - 1 } ( x )\) Tick ( ✓ ) one box.
\(\mathrm { f } ^ { - 1 } ( x ) = \ln ( x - 1 )\)
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\(\mathrm { f } ^ { - 1 } ( x ) = \ln ( x ) - 1\)
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\(\mathrm { f } ^ { - 1 } ( x ) = \frac { 1 } { \mathrm { e } ^ { x } + 1 }\)
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\(\mathrm { f } ^ { - 1 } ( x ) = \frac { x - 1 } { \mathrm { e } }\)
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