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Edexcel IGCSE Math A Higher 3.2.HC domain and range

Edexcel IGCSE Math A Higher 3.2.HC domain and range
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise domain-and-range questions by spotting denominator restrictions, excluded x-values and the output values allowed by the function.

How this is tested

  • State the x-value that must be excluded when a denominator would become zero.
  • Write the range of a function after applying its domain or transformation restriction.

Question 19(a)

[Maximum number: 1]

The functions f and g are such that

f(x)=3x−4 where x>2g(x)=x2x+1\begin{aligned} & f(x)=3 x-4 \text { where } x>2 \\ & g(x)=\frac{x}{2 x+1} \end{aligned}

State the value of x that cannot be included in any domain of g