IB Maths AA SL 2.2 Functions and inverses Question Bank

Practise IB Maths AA SL 2.2 through questions on evaluating functions, compositions, inverse notation and domain-range interpretation.

Exam points

Evaluate functions and compositions accurately from formulae, graphs or stated inputs in AA SL questions.
Find or use an inverse function and connect its domain and range to the original function.
Check a proposed inverse by composition or graphical reasoning and state every restriction clearly.

[Maximum number: 2]

Let $f(x)=\cos 2 x$ and $g(x)=2 x^{2}-1$ .

Find $f\left(\frac{\pi}{2}\right)$ .

$\quad f\left(\frac{\pi}{2}\right)=\cos \pi$

=-1

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