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

Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 3, 1. Line g of x passes through points negative 4, 0 and negative 3.

3
one third
negative one third
−3

Given fx and gx kfx use the graph to determine the value of k Two lines labeled f of x and g of x Line f of x passes through points negative 4 0 and negative 3 class=

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JeanaShupp

Answer: -3.

Step-by-step explanation:

We are given that : [tex]g(x)=kf(x)[/tex]      (1)

It means that f(x) and g(x) are proportional.

[Equation of direct variation: y=kx , where k= proportionality constant.]

From the given graph ,

At x= -3 , f(x)=1 and g(x) =-3

Put value of x=-3 in (1) , we get

[tex]g(-3)=kf(-3)[/tex]  

[tex]\Rightarrow\ -3=k(1)[/tex]  [∵ f(x)=1 and g(x) =-3]

[tex]\Rightarrow\ -3=k[/tex]

i.e. The value of k = -3

Hence, the correct answer is -3.

Answer:

-3

Step-by-step explanation:

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