Evaluating An Exponential Function

Algebra Level 3

f(x)=ex+exexex\large f(x)=\frac{e^x+e^{-x}}{e^x-e^{-x}}

Suppose we define the function f(x)f(x) as above. If f(a)=53f(a)=\frac{5}{3} and f(b)=75,f(b)=\frac{7}{5}, what is the value of f(a+b)?f(a+b)?

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