Finding the inverse of a function

Sample Finding the inverse of a function questions

A few of the 8 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 7
   The function $f$ is defined for $x \in \mathbb{R}$ by $f(x) = 3x - 7$

What are the common mistakes in Finding the inverse of a function?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Doesn't attempt to find the inverse operation/function when required

  Wrote the original function back down instead of rearranging for the inverse

• Confuses substitution with inverse

  May confuse evaluating f(N) with finding the inverse - these are two separate skills, forward substitution and rearranging for x

• When finding an inverse function, fails to first isolate the function by undoing an additive shift before applying the inverse operation

  Before taking logarithms, the $+1$ must be moved to the other side: $y-1=e^{2x}$

Quick answers about Finding the inverse of a function

How many Finding the inverse of a function practice questions are there?

There are 8 self-marking IGCSE and Additional Maths Maths questions on Finding the inverse of a function, written for Cambridge IGCSE Additional Maths (0606), Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Single and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Finding the inverse of a function?

No. You can start practising Finding the inverse of a function straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.