November 2019 2 51 Report
The functions f and g are defined by:
f:x \rightarrow 2-x^{2},\;x \in R,\;x \leq a and g:x \rightarrow \ln{(3-x)},\;x \in R,\;x\ \textless \ 3
(i) Find the largest value of a given that the inverse f^{-1} exist and find f^{-1}
(ii) Show that g \circ f exist and find g \circ f
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