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3.1 Algebra and functions (A-level only)

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Question 72

The function $f$ is defined by

\text{ for } x \in \mathbb{R}

The function $g$ is defined by

g(x) = e^{2x} + 15

where $g$ has its greatest possible domain.

a.

Using set notation, state the range of $f$ .

[1]

b.

State the domain of $g$ .

[1]

c.

The composite function $h$ is given by

\text{ for } x \in \text{domain of } g

(i) Write down an expression for $h (x)$ in terms of $x$ . (ii) Determine if $h$ has an inverse. Fully justify your answer.

[3]

Markscheme

3.1 Algebra and functions (A-level only) Questions

A Level
Maths
3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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