MJC/2013/P1/Q6 Functions

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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