1.1. The functions $f(x)$ and $g(x)$ are defined as follows

$f(x)={x}^{2}-2x\inℝ\;g(x)=1-\frac{2}{x}x\inℝ,x\neq0$

Write down the range of $f(x)$.

1.2. Leaving your answers as single fractions, find

(i)   $fg(x)$
(ii)  $gf(x)$

1.3. Solve the equation $f(x)=g(x)$