What are the domain and range of the function f(x)=-√x+3-2?

Question

asked Jul 22, 2019 195k views

1 Answer

Axel Richter · Answer 1 · 2019-07-28T17:04:59+0000

Answer:

Domain = [-3,∞)

Range : (-∞,-2]

Explanation:

Given :
y=-√(x+3)-2

To Find: What are the domain and range of the function ?

Solution:

y=-√(x+3)-2

For Domain:

$x+3\geq 0$

$x\geq -3$

So, Domain = [-3,∞)

For range :

$√(x)\geq 0$

$√(x+3)\geq 0$

$-√(x+3)\leq 0$

$-√(x+3)-2\leq 0-2$

$y\leq -2$

So, Range : (-∞,-2]