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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

(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 hour

and

Also, g(x):  The time bicycle traveled in hours

and g(x)  = x+1

Now, f . g (x) =  f (g(x))

Also, distance =   speed x time =  f * g = f(x) g(x)

or,

⇒

So, here, (f.g)(2) = 27

Hence, (f.g) (2) = 27 represents the distance in miles traveled by bicycle in hour.

Option D.

Step-by-step explanation:

The function f(x) represents the rate of a bicycle traveling in miles per hour.  

The function g(x) represents the time the bicyclist traveled in hours.

We need to find the value of  (f • g)(2).

Substitute x=2 in both function.

Now,

Since (f • g) is product of rate of a bicycle traveling in miles per hour and number of hours, therefore (f • g) represents the distance in miles the bicycle traveled.

Hence, the correct option is D.

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)