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O-LevelAdditional MathematicsFunctions4037/12 · Oct/Nov 2017 · Q67 Marks

Functions f and g are defined, for x > 0, by f(x) = lnx, g(x) = 2x² + 3.

(i)Write down the range of f.[1]
(ii)Write down the range of g.[1]
(iii)Find the exact value of f⁻¹g(4).[2]
(iv)Find g⁻¹(x) and state its domain.[3]

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About this question

Topic: Functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 6.

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