Answer:
Option A is correct.
Step-by-step explanation:
Given function is,
[tex]\frac{1}{\sqrt{x+4}}[/tex]
We need to find Domain and Range of the function.
Domain of the function are the value for which function is defined or exist.
So, Given function becomes undefined if Denominator equals to 0 and when part of square root become negative.
So, first put
[tex]\sqrt{x+4}=0[/tex] to find value when this denominator become 0.
[tex]x+4=0[/tex] (Squaring both sides)
x = - 4
Now put
x + 4 ≥ 0
x ≥ 0 - 4 (transpose 4 to RHS)
x ≥ -4
So, Domain = ( -4 , ∞ )
Clearly from Domain range should be ( 0 , ∞ )
Therefore, Option A is correct.
