The temperature C (in degrees Celsius) where a certain chemical reaction takes place can be considered as a continuous random variable with density function

Obtain the density function of the temperature that the reaction takes place, in degrees Farenheit (recall that if F and C denote temperature in Farenheit and Celcius degrees, respectively, then F = 1.8C + 32).

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f(t) = 0, -2 (t-29)(31-t), 29t 31, elsewhere.