Curriculum
Course: Pure Mathematics — Second Secondary
Login

Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

0/8

Unit 2: Exponents and Logarithms

0/12

Unit 3: Limits

0/6

Unit 4: Trigonometry

0/4
Text lesson

The Inverse Function

Pure Mathematics — Second Secondary

The Inverse Function

Lesson summary

Lesson summary

  • The inverse f−1 reverses f if f(a) = b then f−1(b) = a.
  • Only one-to-one functions have inverses, and the horizontal line test checks this.
  • To find the inverse, write y = f(x), swap x and y, and solve for y.
  • Composition checks the result f(f−1(x)) = x and f−1(f(x)) = x.
  • The graph of the inverse is the reflection of the graph of f in the line y = x.
The Inverse Function · 7 / 7