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, we need to substitute g(x) into the function f(x)
To find the composition of the functions, we need to substitute g(x) into the function f(x). It means that wherever we see an ‘x’ in f(x), we replace it with g(x).
Given:
f(x) = 1/x
g(x) = x + 5
To find f(g(x)):
Substitute g(x) into f(x):
f(g(x)) = f(x + 5)
Replace the ‘x’ in f(x) with (x + 5):
f(g(x)) = 1/(x + 5)
Therefore, f(g(x)) = 1/(x + 5)
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