ASAP! BRAINLIEST!The function f(x) = 2x2 + 1 represents the rate of a bicycle traveling in miles per hour. The function g(x) = x + 1 represents the time the bicyclist traveled in hours. Solve (f • g)(2), and interpret the answer. (f • g)(2) = 12, the number of bicycles (f • g)(2) = 12, the distance in miles the bicycle traveled (f • g)(2) = 27, the number of bicycles (f • g)(2) = 27, the distance in miles the bicycle traveled
Accepted Solution
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Answer: (f.g) (2) = 27 represents the distance in miles traveled by bicycle in hour.Step-by-step explanation:Here, f (x) : The rate of bicycle travelling in miles per hourand [tex]f(x) = 2x^{2} + 1[/tex]Also, g(x): The time bicycle traveled in hoursand g(x) = x+1Now, f . g (x) = f (g(x))Also, distance = speed x time = f * g = f(x) g(x)or,[tex]f(x).g(x) = (2x^{2} +1)(x+1) = 2x^{3} +2x^{2} + x + 1\\\impliesf(x).g(x) = 2x^{3} +2x^{2} + x + 1[/tex]⇒[tex](f.g)(2) = 2(2)^{3} + 4(2) + 2 + 1 = 16+ 8 + 3 = 27[/tex]So, here, (f.g)(2) = 27 Hence, (f.g) (2) = 27 represents the distance in miles traveled by bicycle in hour.