PLEASE HELP. 10 POINTSThe function f(x) = 2x2 + 2 represents the rate of a bus traveling in miles per hour. The function g(x) = x + 2 represents the time the bus traveled in hours. Solve (f • g)(3), and interpret the answer. A. (f • g)(3) = 100, the distance in miles the bus traveled B. (f • g)(3) = 100, the number of buses C. (f • g)(3) = 25, the distance in miles the bus traveled D. (f • g)(3) = 25, the number of buses
Accepted Solution
A:
Answer:Option A. (f • g)(3) = 100, the distance in miles the bus traveledStep-by-step explanation:we have[tex]f(x)=2x^{2}+2[/tex][tex]g(x)=x+2[/tex][tex](f*g)(x)=f(x)*g(x)[/tex][tex](f*g)(x)=(2x^{2}+2)(x+2)[/tex]For x=3[tex](f*g)(3)=(2(3)^{2}+2)(3+2)[/tex][tex](f*g)(3)=(20)(5)=100[/tex]The units are[tex](f*g)(x)=(\frac{miles}{hour})(hour)=miles[/tex]therefore[tex](f*g)(3)=100\ miles[/tex]