Option B is correct. the required domain of the function will be expressed as [-5, 3) U (3, ∞)
The domain of a function is the input function for which a function exists.
Given the functions
f(x) = 1/x-3
g(x) = √x+5
Get the composite function (f o g) (x)
(f o g) (x) = f(g(x))
f(g(x)) = f( √x+5)
[tex]f(g(x)) =\frac{1}{\sqrt{x+5}-3 }[/tex]
According to the function gotten, we can see that the domain of the fucntion will exist for all values of x except at x = 4. The function tends to infinity at x = 4. Hence the required domain of the function will be expressed as [-5, 3) U (3, ∞)
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