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Letter C only. 2 Functions f and g are defined by f(x) =2 3+- , x#0 and X g ( x ) = _ ,x#3

Letter C only.

2 Functions f and g are defined by f(x) =2 3+- , x#0 and X g ( x ) = _ ,x#3 x - 3 respectively. (a) Find f + g and determine its domain and range. (b) Hence, sketch the graph of y = fg(x). (c) Find lim fg(x), lim fg(x) and lim fg(x). x-3 x-3* x-3

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