The function f is defined by f : x 2x 2 12x + 7 for x
Question:
The function f is defined by f : x ↦ 2x2 −12x + 7 for x ∈ ℝ
i. Express f(x) in the form a(x − b)2 − c.
ii. State the range of f.
iii. Find the set of values of x for which f(x) < 21. The function g is defined by g : x ↦ 2x + k for x ∈ ℝ.
iv. Find the value of the constant k for which the equation gf(x) = 0 has two equal roots.
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ANSWER i To express fx in the form ax b c we complete the square fx 2x 12x 7 2x 6x 9 29 7 adding and ...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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