Question

Find the domain of y=4 √2x+7

Answer 1

`x \geq -(7)/(2)`

Explanation:

we have

`y=4√(2x+7)`

we know that

The radicand must be greater than or equal to zero

so

`2x+7 \geq 0`

Solve for x

Subtract 7 both sides

`2x+7-7 \geq 0-7`

`2x \geq -7`

Divide by 2 both sides

`x \geq -(7)/(2)`

The domain is the interval --------> [-7/2,∞)