Question

PLEASE QUICKLY HELP

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.

4
1/4
-1/4
−4

Answer 1

k = 4

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

`(y-10)/(10-0) =(x-4)/(4-2)`

⇒
`(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)