Answer :
The two functions f(x) and g(x) are f(x) = √x and g(x) = x - 3
How to determine the two functions f(x) and g(x)
From the question, we have the following parameters that can be used in our computation:
h(x) = sqrt(x - 3)
(f ∘ g)(x) = h(x)
This means that
(f ∘ g)(x) = sqrt(x - 3)
Rewrite the above equation properly
So, we have the following representation
(f ∘ g)(x) = √(x - 3)
The function (f ∘ g)(x) is calculated as
(f ∘ g)(x) = f(g(x))
So, we have
f(g(x)) = √(x - 3)
This means that
f(g(x)) = √g(x)
By comparison. we have
g(x) = x - 3
f(x) = √x
Hence, the functions are f(x) = √x and g(x) = x - 3
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