26.T(x) =

500,000

x² + 400

.

At what range distances from the fire's center is the temperature less than 370C? (Assume x is positive. Round your values to one decimal place. Enter your answer using interval notation.

30.Use f(x) = 5x 4 and g(x) = 2 x² to evaluate the expression

a. f(f(2)). b. g(g(3))

31.The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between

x = 0 and x = 100?

(Assume that the points lie on the grid lines.)

35.P(x) = 4x⁴ 2x³ + 20x², D(x) = 2x² + 9

Use either synthetic or long division to divide

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

0.28 0.000002x dollars, and the total cost of producing the order is 0.096x 0.0000005x²

dollars.

48. A functionfis given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph.

f(x) = shift7units to the left

54. f(x) = x³ 7x²; x = 0, x = 10

a, (a) Determine the net change between the given values of the variable.

(b) Determine the average rate of change between the given values of the variable.

55. f(x) = 4x 5 and g(x) = 2 x² to evaluate the expression

(a) (f g)(2

(b) (g f)(2)