Answer:
The function represents a direct variation
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or 
In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m
Let
------> the line passes through the origin

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 
The value of k is equal in all the points of the table and the line passes through the origin
therefore
The function represents a direct variation
the equation of the direct variation is equal to

Answer:
Infinite solutions
Step-by-step explanation:
All solutions are possible.
Answer: 2.5, 5.4
Step-by-step explanation:

(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11