a) The function f: x 2x 12x + 8 is defined for x R.
Question:
a) The function f: x ↦ 2x² − 12x + 8 is defined for x ∈ R.
i) Express f(x) in the form a(x + b)² + c, where a, b and care constants.
ii) Find the range of f(x).
b) The function g: x ↦ 2x² − 12x + 8 is defined for x ≥ D.
i) Find the smallest value of D for which g has an inverse.
ii) For this value of D, find an expression for g−¹(x) in terms of x.
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Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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