Question 1

Paper 2, calculatorEasy6 marks

For x∈Rx\in\mathbb{R} let f(x)=x2−2xf(x)=x^2-2x and g(x)=3g(x)=3

(a)

Use a graphic display calculator to determine the xx-coordinates of the points of intersection of the graphs of ff and gg Hence solve g(x)≥f(x)g(x)\geq f(x) giving your answer as an interval.

[3]
(b)

Solve g(x)≥f(x)g(x)\geq f(x) algebraically.

[3]

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