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Course: Pure Mathematics — Second Secondary
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Curriculum

Pure Mathematics — Second Secondary

Text lesson

The Inverse Function

Pure Mathematics — Second Secondary

The Inverse Function

How to find the inverse

How to find the inverse

  • We follow these steps:
  • Write the function as y = f(x).
  • Swap x and y.
  • Solve the new equation for y, and write y = f−1(x).
  • State the domain of the inverse, which is the range of the original function.
  • If the original function is not one-to-one on its whole domain, we restrict its domain to a part where it is one-to-one, and then find the inverse on that part.
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