composite function evaluation

Practise composite function evaluation with an original VectorPaths question, worked explanation and related VCE Methods practice.

2 practice marks

Original practice question

Given $p(x) = 1x + -1$ and $q(x) = x^2 + -1$, evaluate $p(q(-2))$.

Worked explanation

• f(g(x)) = f evaluated at g(x)

  \[f(g(x)) = x^{2} - 2\]

• Simplify the result

  \[= 2\]

2

Original VectorPaths practice; not an official VCAA question or marking rubric.