The function f is defined by f(x) = 4x 2 24x + 11, for x

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The function f is defined by f(x) = 4x² − 24x + 11, for x ∈ ℝ.

i. Express f(x) in the form a(x − b)² + c and hence state the coordinates of the vertex of the graph of y = f(x). The function g is defined by g(x) = 4x² − 24x + 11, for x ≤ 1.

ii. State the range of g.

iii. Find an expression for g⁻¹(x) and state the domain of g⁻¹.

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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) = 4x 2 24x + 11, for x

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i To express fx in the form ax b2 c we complete the square as follows fx 4x2 24x 11 4x2 6x ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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