Exponential Function

The exponential function is one of the most important in engineering. It describes behaviour that is of a rapidly increasing or decreasing nature – for example bacterial growth or radioactive decay. Yet the exponential function is found to be one of the most troublesome for newcomers to engineering mathematics
Here is general exponential function
f (x) = ax,  where a is a positive constant a>0
Revise1  axay = a(x+y)
f(x) = ax and f(y) = ay so we get f(x).f(y) = f(x+y)
Revise2  a-x= 1/ax
 And what is f (x − y)?
Let solve below exercises:
 

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