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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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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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