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 $f(x) = -1x + -1$ and $g(x) = x^2 + 2$, evaluate $f(g(2))$.

Worked explanation

• f(g(x)) = f evaluated at g(x)

  \[f(g(x)) = - x^{2} - 3\]

• Simplify the result

  \[= -7\]

-7

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