A-Level MathematicsYear 2019Q12
page 06 MARKS 12. Functions f and g are defined by • ( ) , = > f x x x 1 where 0 • ( ) , = − ∈\ g x x x 5 where . (a) Determine an expression for ( ) ( ) f g x . (b) State the range of values of x for which ( ) ( ) f g x is undefined. 13. Triangles ABC and ADE are both right angled. Angles p and q are as shown in the diagram. B D A p q 1 1 1 E C 5 10 (a) Determine the value of (i) cos p (ii) cos q. (b) Hence determine the value of ( ) sin + p q . 14. (a) Evaluate log log + 10 10 4 2 5. (b) Solve ( ) , . log log − − = ≥ x x 2 2 7 2 3 5 1 2 1 1 1 3 3 3
Paper Source:NH_Mathematics_all_2019.pdf
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Exam Specification Info
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.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)