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dom fog = dom g ⇔ rg g ⊆ dom f
dom g: x≥-7
rg g: R⁺ U {0}
dom f: R - {2}
rg g ⊆ dom f excepto por {2}
Entonces:
dom fog = dom g - {x/g(x) = 2}
g(x) = 2 ⇒ √7+x = 2 ⇒ x = -3
Por lo tanto:
dom fog: [-7;-3)U(-3;+∞)