function analysis

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

1 practice marks

Original practice question

Let $p(x) = mx + 3$ where $m$ is a real constant. The function $p$ has an inverse function $p^{-1}$. What possible values can $m$ have?

Worked explanation

• Invertibility condition for linear function

  \[m \neq 0\]

$m \in R \setminus \{0\}$, i.e. $m \neq 0$

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