Answer:
[tex]$g=\frac{2 -3f}{f}, f\neq 0$[/tex]
Step-by-step explanation:
[tex]fg + 2f - g = 2 - (f + g)[/tex]
[tex]fg + 2f - g = 2 - f - g[/tex]
Add [tex]g[/tex] to both sides
[tex]fg + 2f = 2 - f[/tex]
Add [tex]-2f[/tex] both sides
[tex]fg + 2f-2f = 2 - f -2f[/tex]
[tex]fg = 2 -3f[/tex]
Divide both sides by [tex]f[/tex]
[tex]$\frac{fg}{f} = \frac{2 -3f}{f} $[/tex]
[tex]$g=\frac{2 -3f}{f}$[/tex]
But [tex]f[/tex] can't be zero because it is undefined. So,
[tex]$g=\frac{2 -3f}{f}, f\neq 0$[/tex]
