Resources For Teachers For Tutors For Students & Parents Pricing
Create Free Account
Year 11 (2026) Maths Extension 1 (2026) Functions

Inverse Functions

ACCOUNT REQUIRED

Unlock all 33 questions & worked solutions

You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.

Sign Up Log In
All Questions

Access the full question set for every topic.

Worked Solutions

Step-by-step explanations for every answer.

Track Progress

Mark questions right or wrong and monitor your growth.

It's Free

No credit card required - sign up in under a minute.

Questions
Question 1
122962

Consider the function \(f(x)=\dfrac{1}{(x-1)^2}, x<1\)

(i) Sketch the function in the domain \(-3 \leq x \leq 1\).

(ii) Find the inverse function \(f^{-1}(x)\) and sketch this function on the same graph in the domain \(0<x \leq 3\)

i) Refer to worked solution

ii) \(f^{-1}(x)=1-\dfrac{1}{\sqrt{x}}\left(f^{-1}(x)<1\right)\)

📚 Want More Questions?

There are 32 more questions available. Create your free account to access the complete question set with detailed solutions.

Get Full Access Already Have Account?