9) Use the graph of f(x) = log x to obtain the graph of g(x) = 5 - log x.

Solve the problem.

10) A cup of coffee is heated to 194 and is then allowed to cool in a room whose air temperature is 72. After 11 minutes, the temperature of the cup of coffee is 140. Find the time needed for the coffee to cool to a temperature of 102. Assume the cooling follows Newtons Law of Cooling:U = T + (U₀ - T)e^KT

(Round your answer to one decimal place.)

Solve and check the equation.

6) x3/2 = 8

Solve the radical equation, and check all proposed solutions.

5) x + 6 + 2 - x = 4

Solve the problem.

4) To remodel a bathroom, a contractor charges $30 per hour plus material costs, which amount to $4350. Therefore, the total cost to remodel the bathroom is given by f(x) = 30x + 4350 where x is the number of hours the contractor works. Find a formula for f ^-1(x). What does f ^-1(x) compute?