Students will be able to
- recognize the notation for the inverse function: generally the inverse of a function, , is ,
- recognize that if an invertible function, , maps an input, , to an output, , then maps the variable, , to ,
- recognize the conditions for which a function is invertible and state the domain and range of an inverse function,
- evaluate the inverse function from a function mapping diagram or a table of values,
- find the inverse of an invertible function, , by changing the subject from to .
Students should already be familiar with
- the definition of a function,
- one-to-one functions,
- domains and ranges of functions,
- graphs of functions,
- how to change the subject of a formula.
Students will not cover
- trigonometric inverses,
- exponential or logarithmic functions,
- graphs of inverse functions.