Question

If f(x)=square root 4x+9+2, which inequality can be used to find the domain of f(x)?

Answer 1

4x + 9 ≥ 0
There is your answer

Answer 2

we have

`f(x)=√(4x+9) +2`

we know that

The radicand must be greater than or equal to zero

so

`4x+9 \geq0 \\ 4x\geq -9 \\x\geq -(9)/(4) \\ x\geq -2.25`

the domain is is the interval--------> [-2.25,∞)

therefore

the answer is

`4x+9 \geq0`