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Finding a new function given a composite function (Case B : Second function is given) Example 1

Posted on April 18, 2020 by user

Example 1 (substitution Method)
A function f is defined by

$f : x \mapsto x + 2$ .
Find the function g if

$g f : x \mapsto x^{2} + 3 x + 5$ .

[Note : Second function is given, use substitution y = x + 2]