IB skill practice

Analyse inverse composite restrictions

Determine restrictions needed for inverse and composite function relationships.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse inverse composite restrictions - visual transformation link

For \(f(x)=\sqrt{x-4}\), the restriction starts at 4. Enter the smallest x-value allowed before forming an inverse.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.