Given the function

Question

Given the function f(x) = 0.7e^1.4x

- find its inverse

- state the domain and range of each function

- graph both functions on the same set of axes

Answer 1

Interchange the roles of x and y then solve for y.

x = .7 e^(1.4y)

ln x - ln .7 = 1.4 y

y = (1/1.4)(ln x - ln.7)

domain of f: whole real line; range of f: (0, infinity)

domain of inverse; x greater than or equal to 1, range of inverse -ln .7/1.4 to infinity