755 prompts matching "Showing that fg(x) is not the same as gf(x)"
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Explain Back: Showing distributivity fails by a counter-example
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Why any non-zero number to the power nought is one
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Show All Working: Simplifying an expression that mixes the index types
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Common Mistakes: Writing a root as a fractional index before simplifying
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Learn: The definition of a logarithm as the index
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Show All Working: The common logarithm, to base ten
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Learn: The change of base formula
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Show All Working: Deciding whether a given number is a term of a sequence
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Common Mistakes: Proving the sum formula by pairing the terms
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Show All Working: The sum to infinity of a geometric progression, and when it exists
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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WAEC Prep: Showing the solution of a linear inequality on a number line
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Show All Working: Writing the solution of an inequality as a set
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Common Mistakes: A double inequality such as 2 less than x less than 7
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Learn: Factorising a quadratic before solving the inequality
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Show All Working: The region satisfying two linear inequalities together
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