For this case we have the following function:
[tex]f (x) = \frac {1} {\sqrt {x + 4}}[/tex]
By definition, the domain of a function is given by all the values for which the function is defined. The given function is defined when the denominator is non-zero and when the argument of the root is greater than or equal to zero. So:
[tex]x + 4 = 0\\x = -4[/tex]
The function is not defined in -4.
[tex]x + 4 \geq0\\x \geq-4[/tex]
Thus, the domain of the function is given by all the strict major numbers to -4.
The range is the set of values that correspond to the domain.
The range is given by all [tex]y> 0[/tex].
Answer:
OPTION D
