# Evaluating An Exponential Function

Algebra Level 3

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

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

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