4.03: Exponential inverse function
\(f(x)=\mathrm e^{2x+1}\) for all real \(x\).
(a)[1]
State the range of \(f^{-1}\).
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(b)[1]
State the domain of \(f^{-1}\).
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(c)[2]
Find \(f^{-1}(x)\).
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(d)[4]
On the same axes, sketch \(y=f(x)\) and \(y=f^{-1}(x)\), giving exact intercepts.
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