Answer
$f+g,fâg,fg$,$f/g$ : all numbers except $0$
Work Step by Step
$f(x)+g(x)=2+1/x+1/x=2+2/x$
for all $x\ne0$
$f(x)-g(x)=2+1/x-1/x=2$
for all $x\ne0$
$f(x)\times g(x)=(2+1/x)\times1/x=2/x+1/x^2$
for all $x\ne0$
$f(x)/g(x)=(2+1/x)/(1/x)=2x+1$
for all $x\ne0$