Example 2

Example 2

Functions f and g are defined by $f:x\mapsto x-1$   and $g:x\mapsto \frac{3-x}{x+4}$  .  Find
(a) the value of gf(3),
(b) the value of fg(-1 ),
(c) the composite functions fg,
(d) the composite functions gf,
(e) the composite functions g²,
(f) the composite functions f².