A curve has equation y = 12x x 2 . a. Express 12x x 2

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A curve has equation y = 12x − x².
a. Express 12x − x² in the form a − (x + b)², where a and b are constants to be determined.

b. State the maximum value of 12x − x².
The function g is defined as g: x ↦ 12x − x², for x ≥ 6.
c. State the domain and range of g⁻¹.

d. Find g⁻¹(x).

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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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A curve has equation y = 12x x 2 . a. Express 12x x 2

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a To express 12x x2 in the form a x b2 we complete the square as follows y 1...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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