Question

Let f(m) = 3 + √(m – 3) and g(m) = m – 3 then the domain of f + g is: a. (3,+[infinity]) b. (0,+[infinity]) c. none of the above

Answer 1

The domain of f + g is (3, +∞).

Step-by-step explanation:

The domain of f + g is the set of values for which the sum of f(m) and g(m) is well-defined. To find the domain, we need to consider the restrictions on the functions f(m) and g(m).

The function f(m) has a square root term, which means that the expression inside the square root must be non-negative. So, the domain of f(m) is m ≥ 3.

On the other hand, the function g(m) is defined for all real numbers.

To find the domain of f + g, we need to consider the intersection of the domains of f and g. Since g is defined for all real numbers, we only need to consider the domain of f. Therefore, the domain of f + g is (3, +∞), option a.

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