Set the denominator in equal to to find where the expression is undefined.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Take the 7th root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Rewrite as .

Pull terms out from under the radical, assuming real numbers.

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)=1/(3x^7)