Question

find the domain and range of the function
y = √x+2​

Answer 1

Answer:

Hey buddie...

Step-by-step explanation:

Set the radicand in √x−2 greater than or equal to 0 to find where the expression is defined.

=x−2≥0

Add 2 to both sides of the inequalities.....

=x≥2

The domain is all values of x that make the expression defined.

Interval notation

[2,∞)

Set-Builder Notation:

{x|x≥2}

The range of an even indexed radical starts at its starting point (2,0) and extends to infinity.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

=Determine the domain and range.

Domain:

[2,∞),{x|x≥2}✨

Range:

[0,∞),{y|y≥0}✨