Composite Function (Comparison Method) Example 2

Posted on April 18, 2020 by user

Example 2
Given

f : x \mapsto 1 - x

and

g : x \mapsto p x^{2} + q

. If the composite function gf is defined by

g f : x \mapsto 3 x^{2} - 6 x + 5

, find
(a) the value of p and of q,
(b) the value of

g^{2} (- 1)