Answer:
-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
If a point have coordinate [tex](a,f(a))[/tex]. It means that at point [tex]x=a[/tex], function value is [tex]f(a)[/tex].
Value of [tex]-3f(-8)+7g(2)=-22[/tex]
Here, a graph is attached in which graph of two function [tex]f(x)[/tex] and [tex]g(x)[/tex] are shown.
We have to find , [tex]-3f(-8)+7g(2)[/tex]
From graph of f(x), it is observed that at x= -8 , function value is -2.
That is, [tex]f(-8)=-2[/tex]
From graph of g(x), it is observed that at x = 2, function value is -4.
That is, [tex]g(2)=-4[/tex]
Substituting the value of f(-8) and g(2) in above equation.
[tex]-3f(-8)+7g(2)=-3*(-2)+7*(-4)\\\\=6-28=-22[/tex]
Thus, [tex]-3f(-8)+7g(2)=-22[/tex]
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