Question

PLEASE QUICKLY HELP

Answer 1

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  

$\frac{y-10}{10-0} =\frac{x-4}{4-2}$

⇒ $\frac{y-10}{5} =x-4$

⇒ 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)