Question 1077055
{{{(2x+3)/(x-1)}}}



Let g(x) be the inverse of f(x).
{{{(2g(x)+3)/(g(x)-1)=x}}}



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{{{2g(x)+3=x(g(x)-1)}}}

{{{2g(x)+3=x*g(x)-x}}}

{{{2g(x)-x*g(x)=-x-3}}}

{{{g(x)(2-x)=-x-3}}}

{{{g(x)=(-x-3)/(2-x)}}}

{{{g(x)=(x+3)/(x-2)}}}
DONE