restricted inverse

Practise restricted inverse with an original VectorPaths question, worked explanation and related VCE Methods practice.

1 practice marks

Original practice question

The function $f: D \to R$ with rule $f(x) = x^2 - 4x + 3$ will have an inverse function for

Worked explanation

• Find vertex

  \[f(x) = (x-2)^2 - 1, \quad \text{vertex at } x = 2\]

• Choose monotonic interval

  \[D = [2, \infty) \implies f \text{ is strictly increasing}\]

C

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