Question

Find the domain of y = 4 square root 4x + 2

Answer 1

Answer:

$\Large \boxed{x\geq -\frac{1}{2}}$

Step-by-step explanation:

The domain is all possible values for x.

$y=4\sqrt{4x+2}$

There are restrictions on the value of x.

A square root of a negative number is undefined.

The number in the square root has to be equal to 0 or be greater than 0.

$4x+2\geq 0$

Subtract 2 from both sides.

$4x\geq -2$

Divide both sides by 4.

$\displaystyle x\geq -\frac{2}{4}$

$\displaystyle x\geq -\frac{1}{2}$