Answer:
[tex]x \geq -\frac{7}{2}[/tex]
Step-by-step explanation:
we have
[tex]y=4\sqrt{2x+7}[/tex]
we know that
The radicand must be greater than or equal to zero
so
[tex]2x+7 \geq 0[/tex]
Solve for x
Subtract 7 both sides
[tex]2x+7-7 \geq 0-7[/tex]
[tex]2x \geq -7[/tex]
Divide by 2 both sides
[tex]x \geq -\frac{7}{2}[/tex]
The domain is the interval --------> [-7/2,∞)
