Composition of mappings
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A) Let f : R→R be given by x→3x-1 and g:R→R be given by x→x+1. Calculate (i) fοg and ii) gοf.
b) Prove that fοg and gοf are both invertible and describe their inverses.
c) Demonstrate that (fοg)^-1 = g^-1 ο f^-1
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