IB Maths AA SL 2.5 Composite and Inverse Functions Questions

Practise calculating composite functions, finding inverses with valid domain restrictions, and using graphs or equations to analyse intersections with the inverse.

Exam points

Form and evaluate composite functions and inverse functions.
Determine domains, ranges and algebraic forms of composites and inverses using complete evidence.

[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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IB Maths AA SL 2.5 Composite and Inverse Functions Questions question 1