Answer:
k = -5
Step-by-step explanation:
The function f(x) passes through the points (-4,0) and (-2,2).
Therefore, the equation of the straight line is given by
⇒
⇒ y = x + 4
⇒ f(x) = x + 4 ......... (1)
Now, g(x) passes through the points (-4,0) and (-2,-10).
Then the equation will be
⇒
⇒ y = - 5x - 20 = - 5 (x + 4)
⇒ g(x) = -5 (x + 4) ....... (2)
Therefore, from equations (1) and (2) we get k = -5 (Answer)