Question

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

Answer 1

`\Large \boxed{x\geq -(1)/(2)}`

Explanation:

The domain is all possible values for x.

`y=4√(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 -(2)/(4)`

`\displaystyle x\geq -(1)/(2)`