Find the composition of the function.f(x)=1/x and g(x)=x+5 Find f(g(x)).
To find the composition f(g(x)), we need to substitute g(x) into the expression for f(x)
To find the composition f(g(x)), we need to substitute g(x) into the expression for f(x).
Given f(x) = 1/x and g(x) = x + 5, we substitute g(x) into f(x) as follows:
f(g(x)) = f(x + 5)
Now, we replace x in f(x) with (x + 5):
f(g(x)) = 1 / (x + 5)
Therefore, the composition of the functions f(x) = 1/x and g(x) = x + 5 is f(g(x)) = 1 / (x + 5).
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