The function f is defined by f : x 2x 2 12x + 7 for x

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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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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 05:43 AM

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The function f is defined by f : x 2x 2 12x + 7 for x

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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

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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