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