Question

If fg + 2f - g = 2 - (f + g), what is the value of g in terms of f? Plz explain

Answer 1

Answer:

$g=\frac{2 -3f}{f}, f\neq 0$

Step-by-step explanation:

$fg + 2f - g = 2 - (f + g)$

$fg + 2f - g = 2 - f - g$

Add $g$ to both sides

$fg + 2f = 2 - f$

Add $-2f$ both sides

$fg + 2f-2f = 2 - f -2f$

$fg = 2 -3f$

Divide both sides by $f$

$\frac{fg}{f} = \frac{2 -3f}{f}$

$g=\frac{2 -3f}{f}$

But $f$ can't be zero because it is undefined. So,

$g=\frac{2 -3f}{f}, f\neq 0$