If , show that fof(x) = x, for all . What is the inverse of f?

Find gof and fog, if

(i) f (x) = | x | and g(x) = | 5x – 2 |

Find gof and fog, if

State with reason whether following functions have inverse

f : {1, 2, 3, 4} → {10} with

f = {(1, 10), (2, 10), (3, 10), (4, 10)}

State with reason whether following functions have inverse

g : {5, 6, 7, 8} → {1, 2, 3, 4} with

g = {(5, 4), (6, 3), (7, 4), (8, 2)}