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Inverse Functions Worksheet

Inverse Functions Worksheet

Help your students prepare for their Maths GCSE with this free inverse functions worksheet of 20+ questions and answers

  • Section 1 of the inverse functions worksheet contains 20+ skills-based inverse functions questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied inverse functions questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam questions on inverse functions
  • Answers and a mark scheme for all inverse functions questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE and IGCSE maths revision for AQA, OCR and Edexcel exam boards

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Inverse functions at a glance

 

The inverse of a function f is the reverse of the function; it is denoted f-1 and it takes us back to the original value, before that function was applied. For example, taking the square root of a number is the inverse of squaring a number.

 

We can find the inverse of linear functions, functions involving powers and trigonometric functions. The inverse of a function can be used to solve an equation or find a missing value on a graph. Inverse trigonometric functions are used when finding missing angles in triangles.

 

To find the inverse of a composite function we first rewrite the equation, replacing any x with a y and setting the equation equal to x. We then rearrange the equation to make y the subject. Finally we replace y with f-1(x).

 

Looking forward, students can progress with more functions worksheets, to additional algebra worksheets, for example a solving equations worksheet or simultaneous equations worksheet.

 

GCSE-resources-worksheets

 

For more teaching and learning support on algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

 

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