To find f(g(x)), we need to first evaluate g(x) and then take the result and plug it into f(x).
g(x) = x + 5
Now we can plug this into f(x):
f(g(x)) = f(x + 5)
And using the definition of f(x) we get:
f(g(x)) = 1/(x + 5)
Therefore, the composition of the function f(x)=1/x and g(x)=x+5 is f(g(x)) = 1/(x+5).
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