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Finding a new function given a composite function (Case B : Second function is given) Example 3

Posted on April 18, 2020 by user

Example 3 (Substitution Method)
A function f is defined by

$f : x \mapsto \frac{7}{x}$ .
Find the function g if

$g f : x \mapsto \frac{10}{2 x + 3}, x \neq - \frac{3}{2}$ .

[Note : Second function is given, use substitution method]