Question

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

Answer 1

`$g=(2 -3f)/(f), f\\eq 0$`

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`

`$(fg)/(f) = (2 -3f)/(f) $`

`$g=(2 -3f)/(f)$`

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

`$g=(2 -3f)/(f), f\\eq 0$`