(Solved): (4) Let the Function F(x)=1xx+2 be given (a) (5pts) Find the Domain of F(x) (6) (7Pr5) Show t ...

(4) Let the Function $F(x)=\frac{x+2}{1-x}$ be given (a) (5pts) Find the Domain of $F(x)$ (6) (7Pr5) Show that $f$ is one to one on the interval $(-\infty ,1)$ (c) (8PHs) compule ${\left(F^{-1}\right)}^{\prime }(2)$ (5) $15\mathrm{pb}$ The hoght of triangle is increosing at arate of $1\mathrm{cm}/\min$ tornile the area. af triangle is increasing at arate of $2{\mathrm{cm}}^2/\min$ at what rate is the base of triangle Chonging when the height is $10\mathrm{cm}$ ans the area is $100{\mathrm{cm}}^2$ ?