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

Step-by-step explanation:

to determine the Value of k we need to find the equation of f(x) and g(x)

finding the equation of f(x):

f(x) is a linear function which form is given by:

where:

from the graph we acquire that

to figure out m we can consider the following formula:

from the graph we obtain that both ∆x and ∆y is 1 thus substitute:

simplify:

altogether we acquire:

finding the equation of g(x):

likewise f(x)

from the graph we obtain that

thus substitute:

simplify:

from the graph we acquire

altogether substitute therefore

finding the value of k:

given that,

so our equation is

cancel 4 from both sides:

divide both sides by x:

and we're done!

Disclaimer:

at the following link we posted the complete question

the complete question:

k = 3

Step-by-step explanation:

Graph is in attachment .

Finding equation of first line [ f(x) ] :-

We can see that the line passea through point ( 0,4) . Therefore ,

Also it passes through (-4,0 )

Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.

Equation of f(x) :-

Similarly when we will find the equⁿ of g(x) :-

By question :-

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step-by-step explanation: