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

Represent functions, composite functions and inverse functions using algebra and graphs.
Determine domains, ranges, compositions or inverses using complete mark-scheme evidence.

[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.

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