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

The value of k is 3

Solution:

Let us first find the equation of the line f(x).

The points on the line are (-6, -2) and (0, 4).

Here,

Formula to find equation of a line:

Do cross multiplication.

y + 2 = x + 6

y = x + 4

f(x) = x + 4

Given that g(x) = f(kx)

g(x) = kx + 4

The point in the graph of g(x) is ( -2, -2).

g(-2) = k(-2) + 4

we know that g(-2) = -2.

-2 = -2k + 4

Subtract 4 from both sides.

-6 = -2k

Divide by -2 on both sides.

3 = k

k = 3

The value of k is 3.

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude