1 Answer

Chooks · Answer 1 · 2020-12-28T15:10:22+0000

Answer:

second choice

Explanation:

First, do the composition of the functions.

$(f \circ g)(x) = f(g(x))$

= f(√(x + 3))

$(f \circ g)(x) = -8√(x + 3) - 4$

Now we find (fog)(9).

$(f \circ g)(9) = -8√(9 + 3) - 4$

$(f \circ g)(9) = -8√(12) - 4$

$(f \circ g)(9) = -16√(3) - 4$

(fog)(9) evaluates to a real number, so 9 is in the domain of the composition of functions f and g.

Answer: second choice

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