Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Unit 2: Exponents and Logarithms
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Rational Exponents
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Rational Exponents — Lesson quiz
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
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The Inverse Function
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The Inverse Function — Lesson quiz
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
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Unit 3: Limits
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Unit 4: Trigonometry
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Text lesson
The Inverse Function
The Inverse Function
Common mistakes
Common mistakes
Key points
Confusing the inverse with the reciprocalf−1(x) is different from 1/f(x).
Forgetting to swap x and yif we do not swap, we get back the original function.
Ignoring the domainthe domain of the inverse is the range of the original function, not its domain.
Taking both roots in a restricted quadraticchoose only the root that fits the given domain.
The Inverse Function · 6 / 7