755 prompts matching "Restricting the domain so an inverse exists"
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Worked Example: Why multiplying by the conjugate clears the surd
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Worked Example: Squaring both sides safely when solving a surd equation
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Common Mistakes: A surd equation that has no real solution
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Worked Example: Reading the symbol used for a binary operation
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Learn: What closure means for a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Learn: What it means for an operation to be commutative
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Worked Example: Testing whether star distributes over plus
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Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Learn: The definition of a logarithm as the index
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Worked Example: Writing an index statement as a logarithm
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Learn: The law for the logarithm of a product
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Worked Example: The law for the logarithm of a quotient
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Show All Working: Solving a simple logarithmic equation
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Learn: What a sequence is, and what a term means
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