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Jun24-09, 10:59 PM
a) Let f:N*N->Q be defined by f(m,n)=(m-3)/n. Determine if f is injective or surjective.
b) Show that if f:A->B and g:B->C are both bijective, then the composition (g o f):A->c is also bijective.
Solve the recurrence relations
a(r)-5a(r-1)+6a(r-2)=2^r+r
(r,r-1,r-2 are all subscripts)
b) Show that if f:A->B and g:B->C are both bijective, then the composition (g o f):A->c is also bijective.
Solve the recurrence relations
a(r)-5a(r-1)+6a(r-2)=2^r+r
(r,r-1,r-2 are all subscripts)