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PLEASE HELP. 10 POINTS
The 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

Respuesta :

calculista

Answer:

Option A. (f • g)(3) = 100, the distance in miles the bus traveled

Step-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]

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