\f\fThe surface area of a hot-air balloon is given by the function S(r) = 4mm , where r is the radius of the balloon in meters. If the radius r is increasing with time t (in seconds) by the function 4 r (t) = 7 to, find the surface area S of the balloon as it relates to time. S(t)Given f(x) = = + 8 and g() = VE + 9 a. State the domain of f(g(@ ) ) in interval notation. Domain: b. State the domain of g( f (@ ) ) in interval notation. Domain: 32\f