Respuesta :

Answer:

[tex]k=-5[/tex]

Step-by-step explanation:

If we observe the graph carefully there are two on each of the graphs highlighted at x=-2.The functions take the following values at that x.

[tex]f(-2)=2[/tex]

[tex]g(-2)=-10[/tex]

given the condition

[tex]g(x)=k*f(x)[/tex]

put [tex]x=-2[/tex]

we get . [tex]-10=k*2[/tex]

[tex]k=-5[/tex]