Mathematics - Functions Question with Solution | TestHub

$f(x)=\frac{x+3}{x-2}$ $\because f(x)$ is not defined for $x=2$ i.e. domain of $f(x)$ is $\mathrm{R}-\{2\}$ $\therefore l=2$ Now, $y=\frac{x+3}{x-2}$ $xy-2y=x+3$ $x(y-1)=2y+3$ $x=\frac{2y+3}{y-1}$ $y$ can take any value except $y=1$ Co-domain $=\mathrm{R}-\{1\}$ $m=1$ $3l+2m=3(2)+2(1)=8$