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

Subtract from both sides of the inequality.

Multiply each term in by

Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Multiply .

Multiply by .

Multiply by .

Multiply by .

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 of 7-x