jjgamer77 jjgamer77
  • 03-03-2020
  • Mathematics
contestada

Given f(x) and g(x) = k·f(x), use the graph to determine the value of k.
g(x)

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danielmaduroh
danielmaduroh danielmaduroh
  • 11-03-2020

Explanation:

The diagram for this exercise is attached below. We have two linear functions [tex]f(x) \ and \ g(x)[/tex] and the following relationship:

[tex]g(x) = kf(x)[/tex]

From the graph, we know that:

[tex]f(-3)=1 \\ \\ g(-3)=-3[/tex]

Then, substituting into the relationship:

[tex]g(-3)=kf(-3) \\ \\ -3=k(1) \\ \\ \\ Finally: \\ \\ \boxed{k=-3}[/tex]

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