Example 2 Given
f:x↦1−x
and
g:x↦px2+q
. If the composite function gf is defined by
gf:x↦3x2−6x+5
, find
(a)the value of p and of q,
(b)the value of
g2(−1)
.
Functions f and g are defined by
f:x↦x−1
and
g:x↦3−xx+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.