Find the composition of the function.f(x)=1/x and g(x)=x+5 Find f(g(x)).
1/(x+5)
To find f(g(x)), we need to first find g(x) and then substitute it into f(x) in place of x.
Given that g(x) = x + 5, we can substitute it into f(x) as follows:
f(g(x)) = f(x + 5)
Now we need to apply the function f(x) to x + 5.
f(x) = 1/x
Substituting x + 5 in place of x, we get:
f(x+5) = 1/(x+5)
Therefore,
f(g(x)) = f(x + 5) = 1/(x + 5)
Hence, 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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