The proof that is, that I have dumbed down…
My mother recently gave me a book of old ‘A’ level exam papers. Here’s a 4 mark (ie low mark) question from the June 1982 University of London “Syllabus B” paper, that I think I’d really struggle with – I’ll try it later:
Given that show that is a factor of . Factorise completely and hence state the set of values for which .
This one (also 4 marks), seems a bit easier though:
The functions and , each with domain , where:
are defined by
Write down and simplify and expression for , giving its domain of definition. Sketch the graph of .