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43 votes
43 votes
6x/(x+5)^(1/2)find the domain

User Eolandro
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1 Answer

13 votes
13 votes

Answer:

(-5, ∞)

Step-by-step explanation:

The given expression is


(6x)/(√(x+5))

Then, the domain is the set of values that the variable x can take. In this case, (x + 5) should be a number greater than 0, otherwise, we get a square root of a negative number and that is not possible.

Therefore, we need to solve the following inequality

(x + 5) > 0

x + 5 > 0

x + 5 - 5 > 0 - 5

x > -5

Therefore, the domain of the equation is x > -5 written in interval notation is

(-5, ∞)

User Maxwellb
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3.4k points