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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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The following posting helps with problems involving the composition of mappings.

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