(i) Solve the inequality, leaving your answers in exact form,

(ii) Hence solve

The functions f and g are defined as follows:

Where λ is a constant.

(i) Given that gf exists, find the largest value of λ.

In the rest of the questions, use the value of λ found in part (i).

(ii) On the same diagram, sketch the graph of , and , showing clearly the relationship between the graphs.

(iii) Hence find the exact solution of

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