Question

Suppose f is a function with exponential decay. Explain why the function g defined by g(x)=1/f(x) is a function with exponential growth.

PLEASE HELP!!

Answer 1

A general equation for exponential decay can be written f(x) = A e^(-kx), where A and k are positive contants.

If f(x) = A e^(-kx), then
1/f(x) = (1/A)e^kx ,

which is an equation for exponential growth.

Answer 2

Describe the important features of exponential decay.