Question

Please solve and give answer

Answer 1

domain:

`x \geqslant - 3`

Range

`y \leqslant - 2`

Step-by-step explanation

The given function is

`f( x) = - √(x + 3) - 2`

This base of this function is

`y = √(x)`

This function has been shifted to the left 3 units and down 2 units.

This function is reflected in the x-axis.

Therefore graph starts at (-3,-2) and move down forever.

The domain is obtained using the expression under the radical sign.

It must be greater than or equal to zero.

`x + 3 \geqslant 0`

`x \geqslant - 3`

The range is

`y \leqslant - 2`