Page 06 MARKS 12. The functions f and g are defined on , the set of real numbers by ( ) 2 2 4 5 = − + f x x x and ( ) 3 = − g x x. (a) Given ( ) ( ) ( ) = h x f g x , show that ( ) 2 2 8 11 = − + h x x x . (b) Express ( ) h x in the form p x q r + ( ) + 2 . 13. Triangle ABD is right-angled at B with angles BAC = p and BAD = q and lengths as shown in the diagram below. D C B 2 1 4 A q p Show that the exact value of ( ) cos − q p is 19 17 85 . 2 3 5
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This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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