Precalculus

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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.

• Precalculus -

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.

• Precalculus -

Describe the important features of exponential decay.

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