The following two functions have a common input, year t: R gives the average price, in dollars, of a gallon of regular unleaded gasoline, and P gives the purchasing power of the dollar as measured by consumer prices based on 2010 dollars. (a) Using function notation, show how to combine the two functions to create a new function giving the price of gasoline in constant 2010 dollars R(tdollars gallon (RP(t dollars gallon 2010 dollars P(t) dollars (at pump) R(t) dollars. P(tdollars (at pump) 2010 dollars (R P)(t) 2010 dollars gallon gallon Rit dollars . Pt dollars (at pump) 2010 dollars (R P(t dollars gallon gallon OR(t) dollars gallon 2010 dollars P(t) 2010 dollars gallon P(t) dollars (at pump) (R OR(t)dollars gallon 2010 dollars P(t) dollars (at pump) = (R + P)(t 2010 dollars gallon (b) What are the output units of the new function? O2010 dollars per gallon Odollars per gallon gallons per dollar 2010 dollars per dollar (at pump) Ogallons per 2010 dollar

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