-3 \cdot f(-8) + 7 \cdot g(2) =−3⋅f(−8)+7⋅g(2)=minus, 3, dot, f, left parenthesis, minus, 8, right parenthesis, plus, 7, dot, g, left parenthesis, 2, right parenthesis, equals

If a point have coordinate . It means that at point , function value is .

Value of

Here, a graph is attached in which graph of two function and are shown.

We have to find ,  

From graph of f(x), it is observed that at x= -8 , function value is -2.

That is,  

From graph of g(x), it is observed that  at x = 2, function value is -4.

That is,  

Substituting the value of f(-8) and g(2) in above equation.

Thus,  

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-22

Step-by-step explanation:

The graph from which the information is to be read is attached below.

We want to find the value of −3⋅f(−8)+7⋅g(2).

From the graph:

Therefore:

−3⋅f(−8)+7⋅g(2)=−3(-2)+7(-4)

=6-28

=-22

−3⋅f(−8)+7⋅g(2)=-22

answer: the common difference is -0.10