IB Maths AA HL Sl 2 2 Functions and Inverses Questions

Practise IB Maths AA HL 2.2 through questions that extend functions to parameters, inverse models, compositions and restricted domains.

Exam points

Solve HL inverse and composition problems with parameters and carefully stated restrictions.
Use a function model to connect inputs, outputs and inverse interpretations in multi-step contexts.
Justify domain and range choices and verify the inverse algebraically or graphically.

Learn this topic

Study SL 2.2—Functions and inverses conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 1]

A function f is defined by $f(x)=\arcsin \left(\frac{x^{2}-1}{x^{2}+1}\right), x \in \mathbb{R}$ .

State the domain of $g^{-1}$ .

domain is $-\frac{\pi}{2} \leq x<\frac{\pi}{2}$
Note: Accept correct alternative notations, for example, $\left\lfloor-\frac{\pi}{2}, \frac{\pi}{2}\right\rfloor$ or $\left\lfloor-\frac{\pi}{2}, \frac{\pi}{2}\right)$ .

Marking guidance:

Accept [-1.57,1.57[ if correct to 3 s.f.

All question bank results loaded

Learn this topic

IB Maths AA HL Sl 2 2 Functions and Inverses Questions question 1