IB Maths AI HL Sl 2 2 Functions and Inverses Questions

Practise IB Maths AI HL 2.2 through questions that extend functions to parameters, inverse models, compositions and domain-range decisions.

Exam points

Evaluate and compose functions from formulae, tables, graphs or contexts, keeping the input and output roles clear.
Find or use an inverse function, including the restriction needed for a one-to-one function.
Use inverse and composite functions in a model, and verify the result by composition, domain/range or graph reflection.

Learn this topic

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

[Maximum number: 2]

The function f is defined by $f(x)=4 \ln (2 x-3)$ , where $x>\frac{3}{2}$ .
The graph of y=f(x) is obtained from the graph of $y=\ln x$ by a sequence of three transformations.

The graph of y=g(x) is shown.
The graph passes through the points (-2,-2),(-1,0),(0,2),(1,3),(2,5) and (3,6).

Figure for Question IB Maths AI HL Sl 2 2 Functions and Inverses Questions question 1 — IB Maths AI HL

Find $(f \circ g)(2)$ .

$\quad g(2)=5$ $f(5)=7.78 \quad(=7.78364 \ldots, 4 \ln 7)$

All question bank results loaded

Learn this topic

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