Question number 31

R https://www.rhinebeckesd.org/teachers/cbaccaro/tinymce/js/tinymce/plugins/moxie 1 of 2 matches | Begins with ) SECTION 1.4 Building Functions from Functions 117 In Exercises 23-30, find f(x) and g(x) so that the function can be de- scribed as y = f(g(x)). (There may be more than one possible decom- position.) 23. y = Vx2 - 5x 24. y = (x3 + 1)2 25. y = 3x - 2 26. y = 23 - 5x + 3 27. y = (x - 3)3 + 2 28. y = esin x 29. y = cos( Vx) 30. y = (tan x)2 + 1 31. Weather Balloons A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pres- sure. Suppose that the radius / increases at the rate of 0.03 inch per second and that r = 48 inches at time / = 0. Deter- mine an equation that models the volume V of the balloon at time : and find the vol- ume when t = 300 seconds