How to Find Domain Algebraically?

Set the denominator equal to zero and exclude those values

For even roots, require the radicand to be greater than or equal to zero

For odd roots, no restriction from the root itself

For logarithms, require the argument to be greater than zero

For fractions inside fractions, exclude any values that make an inner denominator zero

For rational exponents, apply root restrictions based on the denominator of the exponent in lowest terms

For expressions with multiple parts, combine all restrictions using intersection

Solve each restriction algebraically

Write the domain as all real numbers except the excluded values, or in interval notation

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