Answer:
D
Step-by-step explanation:
So we want to evaluate the expression:
[tex]-1\cdot f(-9)+7\cdotg(6)[/tex]
First, let's figure out the value of f(-9) and g(6).
From the graph, we can see that a point on f(x) is (-9,4). In other words, f(-9)=4.
Also, a point on g(x) is (6,6). This means that g(6)=6.
Substitute:
[tex]=-1\cdot(4)+7\cdot(6)[/tex]
Multiply:
[tex]=-4+42[/tex]
Add:
[tex]=38[/tex]
So the answer is D.
And we're done!
