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College Algebra  /  Alg 294  ·  Atom · ~20 seconds

The Reciprocal-Inverse Error

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The reciprocal-inverse error reads f⁻¹(x) as 1/f(x); the −1 marks the reverse machine, not an exponent on the output.

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For f(x) = 2x + 3: f⁻¹(11) = 4, while 1/f(11) = 1/25 — not remotely the same number.

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On functions, the −1 names an inverse; Video 031's reciprocal rule governs powers, not machines.

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