Question

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

Answer 1

we have

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

we know that

The radicand must be greater than or equal to zero

so

$4x+9 \geq0 \\ 4x\geq -9 \\x\geq -\frac{9}{4} \\ x\geq -2.25$

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

therefore

the answer is

$4x+9 \geq0$

Answer 2

4x + 9 ≥ 0
There is your answer