Respuesta :
Given:
Consider the below figure attached with this question.
To find:
The function that has the domain [tex]x\geq -11[/tex].
Solution:
We know that, a radical function is defined for only non negative radicand.
In option A, the function is defined if
[tex]x+11\geq 0[/tex]
[tex]x\geq -11[/tex]
The domain of this function is [tex]x\geq -11[/tex]. So, option A is correct.
In option B, the function is defined if
[tex]x-11\geq 0[/tex]
[tex]x\geq 11[/tex]
The domain of this function is [tex]x\geq 11[/tex]. So, option B is incorrect.
In option C and D, the function is defined if
[tex]x+5\geq 0[/tex]
[tex]x\geq -5[/tex]
The domains of these function are [tex]x\geq -5[/tex]. So, options C and D are incorrect.
Hence, option A is correct.

