Starting with the basic function

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

y=e^{x}

, the following transformations are performed in order: (i) Write an explicit expression for

p(x)

. (ii) Find the domain and range of

p

. (iii) Obtain the inverse function

p^{-1}(x)

and state its domain and range.