Problem:
Let F(x) = (x+2)/(x+7)
so what is F^(-1) (-7)= ?
Hi isnyder,
Not what I got. Check your algebra again and see if you can come up with the correct denominator. Your numerator is fine.
$\displaystyle x=\frac{y+2}{y+7}$
$\displaystyle x(y+7)=y+2$
Distribute on the left and group your y terms togther on the left. Continue from there.
$\displaystyle xy+7x=y+2$
$\displaystyle xy-y=2-7x$
See? Now factor out a y on the left and then divide.