Answer:
k = 4
Step-by-step explanation:
From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).
Since, it is a straight line then equation of f(x) is given by
[tex]\frac{y-10}{10-0} =\frac{x-4}{4-2}[/tex]
⇒ [tex]\frac{y-10}{5} =x-4[/tex]
⇒ y = 5x - 10.
Hence, f(x) = 5x - 10
Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.
So, 10 = 5k - 10
⇒ 5k = 20
⇒ k = 4 (Answer)
