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 $g(x) = 1x^2 + -2$.

Worked explanation

• Write x = f(y) and solve for y

  \[x = 1y^2 + -2\]

• Rearrange to find f^{-1}(x)

  \[f^{-1}(x) = - \sqrt{x + 2}\]

-sqrt(x + 2)

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