Answer:
(-4) will be the smallest value.
Step-by-step explanation:
Two functions have been given in this question,
f(x) = [tex]\sqrt{6x}[/tex] and g(x) = x + 4
Then the composite function (fog)(x) will be,
(fog)(x) = f[g(x)]
f[g(x)] = [tex]\sqrt{6(x+4)}[/tex]
Since this function is defined for (x + 4) ≥ 0
(x + 4) - 4 ≥ 0 - 4
x ≥ -4
Domain of this function : [-4 ∞)
Therefore, the smallest number in the domain or smallest value for 'x' should be (-4).