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.
a (f • g)(2) = 12, the number of bicycles
b (f • g)(2) = 12, the distance in miles the bicycle traveled
c (f • g)(2) = 27, the number of bicycles
d (f • g)(2) = 27, the distance in miles the bicycle traveled

d (f • g)(2) = 27, the distance in miles the bicycle traveled

step-by-step explanation:

given:

rate of a bicycle, f(x) = 2x2 + 1

time the bicyclist traveled, g(x) = x + 1

finding (f • g)(2)

= (2x2 + 1)(x + 1)

= 2x^3+2x^2+x+1

putting value of 2 in above expression:

=2(2)^3 + 2(2)^2 +2 +1

=2(8) +2(4) + 3

= 16+8+3

=27

also we know, distance= speed x time

hence d (f • g)(2) = 27, the distance in miles the bicycle traveled is correct answer!

b is the correct answer