Question

find the inverse function. f(x)=e^2x-1

Answer 1

well, the inverse of a function can be obtained, as you'd know, by switching about the variables, so
\(\bf \large f(x)=e^{2x-1} \implies \color{red}{y} =e^{2\color{blue}{x}-1} \quad \textit{inverse?}\quad \color{blue}{x} =e^{2\color{red}{y}-1}\)

Answer 2

Oh yes, that's right. you switch the x and y values to obtain the inverse function. However, Is that all that is required to get to the desired answer? Or perhaps I'm just looking into the question more than I should! But, nonetheless thank you for your help and time!