IB skill practice

Compose linear functions

Find and evaluate composite linear functions using function notation, substitution order, and simplified algebra.

Paper 1 6 marks Difficulty 2

Evaluate a composite after simplifying

For \(f(x)=-4x + 5\) and \(g(x)=-5x - 2\), simplify \((f\circ g)(x)\) before evaluating \((f\circ g)(-1)\). Also state the gradient and intercept.

Worked practice: composite linear function

Compose the two linear rules, then evaluate the composite function.