Question

If mc010-1.jp g and mc010-2.jp g, which expression could be used to verify that mc010-3.jp g is the inverse of mc010-4. ? mc010-5.j pg mc010-6.jp g mc010-7.jp g mc010-8.jp g

Answer 1

if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then

$\bf (g\circ f)(x)=x\implies g(~~f(x)~~)=x \\\\\\ \begin{cases} f(x) = 3x\\ g(x)=\cfrac{1}{3}x \end{cases}\qquad \qquad g(~~f(x)~~)=\cfrac{1}{3}[f(x)]\implies g(~~f(x)~~)=\cfrac{1}{3}(3x)$