function evaluation

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

1 practice marks

Original practice question

Let $f(x) = \dfrac{2x - 3}{x + 3}$. Find $f(-2)$.

Worked explanation

  • Substitute x = -2 into f(x)

    \[f(-2) = \dfrac{2(-2) - 3}{(-2) + 3}\]

  • Calculate the result

    \[f(-2) = -7\]

-7

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