IB skill practice

Use inverse and composite functions with restrictions

Find inverse and composite functions while respecting domains and one-to-one restrictions.

Paper 1, Paper 2 5 marks Difficulty 3

Use inverse and composite functions with restrictions - visual axis link

For the rational transformation shown, \(f(x)=\frac{5}{x-2}+3\). Enter the excluded \(x\)-value.

Worked practice: result and interpretation

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