Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the graphs of f(x) and g(x).
And we know that g(x) is defined as f(kx), where k is some constant.
First, from the graph we can note two points:
For g(x), we have the point (1,10) and for f(x), we have the point (4,10).
In other words:
[tex]g(1)=10[/tex]
And since we know the g(x) is f(kx), this means that:
[tex]g(1)=10\\g(1)=10=f(1(k))=10[/tex]
And we know the for f(x) to be 10, the initial value is 4. Therefore:
[tex]f(1(k))=10=f(4)\\1k=4\\k=4[/tex]
Therefore, the value of k is 4.
