Answer:
<em>A. k=-2</em>
Step-by-step explanation:
<u>Interpretation Of Graphs
</u>
Very useful information can be obtained from simple inspection to the graph of functions. Though the are meant only to provide general information, specific details can help us to model reality
We are given the condition that g(x)=k.f(x). It means that every value of g(a) is the result of the value of f(a) by a constant. We can see the following points in the graph: g(-5)=2, f(-5)=-1. g(-3)=-2, f(-3)=1. If we divide g/f for each point we get
g(-5)/f(-5)=-2
g(-3)/f(-3)=-2
It means that g(x)=-2f(x), the constant is k=-2
