For this case we have the following function:
![f (x) = \sqrt {4x + 9} +2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mf0zq4hf31z0k1wyj1kfn5ebs83adxbk4y.png)
By definition, the domain of a function is given by all the values for which the function is defined.
For the given function to be defined, then the root argument must be positive, that is:
![4x + 9 \geq0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i7j4g3zpbdtm1qca6nv3ui7n2pjgl1clu3.png)
Answer:
Option B