8. Use

f(x) = 2x 3

and

g(x) = 6 x²

to evaluate the expression.

f(g(0))

g(f(0))

15. A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.

f(x) = x²;

stretch vertically by a factor of 2, shift downward 8 units, and shift 4 units to the right

y= ?

19.A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is

0.13 0.000002x

dollars, and the total cost of producing the order is

0.089x 0.0000005x²

dollars. Use the fact that profit = revenue costto express P(x), the profit on an order of x stickers, as a difference of two functions of x

P(x) = ?