IB skill practice

Find inverse linear functions

Find and interpret the inverse of a linear function using rearrangement, function notation, and substitution checks.

Paper 1 6 marks Difficulty 2

Find inverse for an unrestricted linear function

The function \(f(x)=-3x - 12\) has domain \(\mathbb{R}\). Find \(f^{-1}\), then state its gradient, \(y\)-intercept, and \(f^{-1}(6)\).

Worked practice: inverse linear function

Reverse the linear rule, then check the inverse using the requested value.