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

f(x) = 0.7e^1.4x

y = 0.7e^1.4x

Switch the x and y:

x = 0.7e^1.4y [

Solve for y:

x/0.7 = e^1.4y

ln(x/0.7) = 1.4y

ln(x/0.7)/1.4 = y

f^-1(x) = ln(x/0.7)/1.4