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 3

Track signs when finding an inverse

For \(f(x)=5x - 5\), find \(f^{-1}\) carefully. State the inverse gradient, inverse \(y\)-intercept, and \(f^{-1}(-5)\).

Worked practice: inverse linear function

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