Let f(x)=x+3 and g(x)=1/2 the graph of (f•g)(x) is shown below

(1/2)x+3/2

or

0.5x+1.5

Step-by-step explanation:

Hopefully you mean to have that dot between f and g closed because if it open it means something totally different.

So closed dot means multiplication

Open dot means you are composing a function with another one

So here you are just doing (x+3)  *  (1/2)

Just use distributive property   (1/2)x+(1/2)(3)

(1/2)x +3/2

or

0.5x+1.5

what's that

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: