For each integer n, define fn: r-> r by fn(x)=x+n. a) prove that for each integer n, fn is a permutation of r, that is fnes( b)prove that fn•(• meaning composed)fm=fn+m and fn^-1=f-n c) let g={fn: nez}. prove that g is a subgroup of s(r). d) prove that g is cyclic (find a generator of g).

What is the difference between regular convex and concave polygons

Which of the following expressions cannot be simplified to x – 2?

Bo is buying a board game that usually costs bb dollars. the game is on sale, and the price has been reduced by 18\%18%. which of the following expressions could represent how much bo pays for the game? choose 2 answers: choose 2 answers: (choice a) a 0.82b0.82b (choice b) b 1.18b1.18b (choice c) c b-0.18b−0.18 (choice d) d b-18b−18 (choice e) e b-0.18bb−0.18b