The one-to-one functions g and h are defined as follows. g= {(-6. - 2), (-2, 8), (1. -9), (8, 0)) h (x) = 2x+3 Find the following. g^-1 (8) =

h^-1 (x) =

(h°h^-1) (-1) =

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Quadrilateral ghij has coordinates g(5, 1), h(4, -3), i(6, -1), and j(2, 1). if the quadrilateral is reflected over the line y = x, what are the coordinates of h'?

Find the degree 3 taylor polynomial p3(x) of function f(x)=(-3x+15)^(3/2) at a=2