Answer
$f(g(x))=\frac{5x-56}{9}$ and $g(f(x))=\frac{5x-4}{9}$.
Work Step by Step
$f(x)=5x-9, g(x)=\frac{x+5}{9}$
$f(g(x))=5\left(\frac{x+5}{9}\right)-9=\frac{5x-56}{9}$
and
$g(f(x))=\frac{5x-9+5}{9}=\frac{5x-4}{9}$.
$f(g(x))\ne g(f(x))\ne x.$
Thus, $f(x)$ and $g(x)$ are not Inverse of each other.
