Question 120992
f(g(x)) f(x)= 1/x and g(x) = x/x-1
:
Substitute g(x) for x in the f(x) = 1/x
which means
Substituting (x/x-1) for x in 1/x
:
f(g(x)) = {{{1/(x/((x-1)))}}}
:
When dividing, invert the dividing fraction and mulitipy
f(g(x)) = {{{1 * ((x-1)/x)}}} = {{{(x-1)/x}}}