SOLUTION: Suppose that the function f has a domain of {x ∈ R | x ≥ - 14} and that the function g has a domain of {x ∈ R | x ≤ - 11}. What is the minimum value in the domain of th

Question 1205644: Suppose that the function f has a domain of {x ∈ R | x ≥ - 14} and that the function g has a domain of {x ∈ R | x ≤ - 11}. What is the minimum value in the domain of the function (g + f)(x)? Explain.
Answer by math_tutor2020(3820) (Show Source): You can put this solution on YOUR website!

This is what the number line diagram looks like for each domain.

As the diagram above shows, the two regions overlap for the interval
x is some real number between -14 and -11 including both endpoints.

Therefore the domain of (g+f)(x) is which shows that x = -14 is the smallest input allowed for function (g+f)(x).

Answer: -14

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