CAIE IGCSE Additional Math 1.2 Find Domains and Ranges of Functions Questions

Practise Cambridge IGCSE Additional Mathematics by determining valid domains, ranges and restrictions for functions, inverses and composites.

Exam points

Find the domain and range of functions, including functions involving roots, denominators and restricted inputs.
Determine domain restrictions needed for inverse and composite functions to exist.
Use domain and range relationships to establish when an inverse or composite function is defined.

[Maximum number: 2]

It is given that $\mathrm{f}(x)=\ln (2 x+5)$ for x>a, where a is a constant.

(a)

Write down the least possible value of a.

[ 1 ]

$-\frac52$ oe

(b)

Using your value of a, write down the range of f.

9 I given that 1(x)-1(2 x+5) or x>a, where a is a constant.
(a) Write down the least possible value of a.

It is also given that $\mathrm{g}(x)=x^{2}+1$ for $x \in \mathbb{R}$ .

[ 1 ]

$f\in\mathbb{R}$ oe

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CAIE IGCSE Additional Math 1.2 Find Domains and Ranges of Functions Questions question 1

Question (a)

Question (b)