Respuesta :
- y=√4x+9+2
- y=√4x+11
As it's a square root the underroot value must be greater than or equal to 0
So
let's find out the domain
- √4x+11≥0
- 4x+11≥0
- 4x≥-11
- x≥-11/4
Domain
- [-11/4,oo)
Answer:
[-11/4, ∞)
Step-by-step explanation:
Given :
y = √(4x + 9 + 2)
Simplifying :
y = √(4x + 11)
Now, the term in the bracket has to be greater than or equal to 0 to be real.
Hence,
⇒ 4x + 11 ≥ 0
⇒ 4x ≥ -11
⇒ x ≥ -11/4 [Lower limit]
Infinity will be the upper limit as the numbers increase indefinitely.
The domain will be :
⇒ [-11/4, ∞)
