book Maths Puzzle Numerical Ability

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1 Let f:X to Y and g:y to Z be mappings between non empty sets such that g o f:X to Z is injective.
(i)prove that f is necessarily injective.
(ii)Give an ezample in w
A coffee filter for a new coffee maker is to be designed using a conical filter. The filter is to be made from a circle or radius 10cm with a sector cut from it such that the volum