The domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a functions g(x) and k(x)
g(x) = x - 6
The domain of the function:
D: x ∈ (-∞, ∞) or
All real numbers.
k(x) = √x
The domain of the function k(x) is x ≥ 0
The range of the function k(x) is y ≥ 0
The sum of the functions:
= g(x) + k(x)
= x - 6 + √x
= x + √x - 6
The domain of the function is x ≥ 0
The range of the function is y ≥ -6
Thus, the domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
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