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Please help. Which function has the domain x>=-11

Please help. Which function has the domain x>=-11-example-1
User Vss
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2 Answers

4 votes

we proceed to resolve each case to determine the solution

we know that

The radicand is a number or quantity from which a root is to be extracted

In this problem the radicand must be greater than or equal to zero

case A
y=√(x+11) +5

the radicand is equal to


(x+11)

so


(x+11) \geq 0\\x \geq -11

the domain is the interval--------> [-11.∞)

therefore

the function
y=√(x+11) +5 is the solution of the problem

case B
y=√(x-11) +5

the radicand is equal to


(x-11)

so


(x-11) \geq 0\\x \geq 11

the domain is the interval--------> [11.∞)

therefore

the function
y=√(x-11) +5 is not the solution of the problem

case C
y=√(x+5)-11

the radicand is equal to


(x+5)

so


(x+5) \geq 0\\x \geq -5

the domain is the interval--------> [-5.∞)

therefore

the function
y=√(x+5) -11 is not the solution of the problem

case D
y=√(x+5)+11

the radicand is equal to


(x+5)

so


(x+5) \geq 0\\x \geq -5

the domain is the interval--------> [-5.∞)

therefore

the function
y=√(x+5)+11 is not the solution of the problem

the answer is the function
y=√(x+11) +5

User David Nedrow
by
8.6k points
3 votes
Answer: Choice A

Set the radicand (stuff under the radical) greater than or equal to 0. Solve x+11 >= 0 for x to get x >= -11
User Vamsikrishnamannem
by
7.9k points

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