inverse function

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

2 practice marks

Original practice question

Find the inverse function of $h(x) = 3x + 1$.

Worked explanation

• Write x = f(y) and solve for y

  \[x = 3y + 1\]

• Rearrange to find f^{-1}(x)

  \[f^{-1}(x) = \frac{x}{3} - \frac{1}{3}\]

x/3 - 1/3

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