IB Maths AA SL 2.5 Composite and inverse functions Question Bank

Practise IB Maths AA SL 2.5 by calculating composite and inverse functions and stating the required domains.

Exam points

Calculate a composite function and simplify the resulting expression.
Find an inverse function and state the domain restriction needed for it to exist.
Use graphs or equations to identify intersections of a function and its inverse.

[Maximum number: 2]

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

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

$\quad(g \circ f)\left(\frac{\pi}{2}\right)=g(-1)\left(=2(-1)^{2}-1\right)$

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