Set the argument in greater than to find where the expression is defined.

Subtract from both sides of the inequality.

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

Interval Notation:

Set-Builder Notation:

The range is the set of all valid values. Use the graph to find the range.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain:

Range:

Find the Domain and Range f(x) = log base 0.5 of x+3