Question

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?

Answer 1

The inequality would be 4x + 9 ≥ 0

Explanation:

You could use this inequality to solve the domain as any number can be put into this equation as long as it doesn't make what is under the square root symbol (4x + 9) negative. Therefore, you can build this inequality and solve from there if you would like.

Answer 2

For this case we have a function of the form
`y = f (x)`, where:

`f (x) = \sqrt {4x + 9} +2`

We must look for the domain of the function. By definition, the domain of a function is given by all the values for which the function is defined.

So, for the given function to be defined, the argument of the root must be positive, that is:

`4x + 9\geq 0`

Answer:

`4x + 9\geq 0`