10) Find the composition of the function.f(x) 1/x and g(x) = x + 5 Find f(g(x)).
To find the composition of the functions f(x) and g(x), we substitute the expression for g(x) into f(x)
To find the composition of the functions f(x) and g(x), we substitute the expression for g(x) into f(x).
Given that f(x) = 1/x and g(x) = x + 5, we can find f(g(x)) by replacing x in f(x) with the function expression for g(x):
f(g(x)) = f(x + 5)
Now, substituting f(x) = 1/x into the above expression, we get:
f(g(x)) = 1/(x + 5)
Thus, the composition of the functions f(x) and g(x) is f(g(x)) = 1/(x + 5).
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