SOLUTION: I am doing homework and I am dealing with non-linear functions and equations. I have a problem that asks:"Suppose that g(x) has a rule in the form g(x)=k[x(x-200)]. For some partic

Algebra ->  Functions -> SOLUTION: I am doing homework and I am dealing with non-linear functions and equations. I have a problem that asks:"Suppose that g(x) has a rule in the form g(x)=k[x(x-200)]. For some partic      Log On


   

Question 910684: I am doing homework and I am dealing with non-linear functions and equations. I have a problem that asks:"Suppose that g(x) has a rule in the form g(x)=k[x(x-200)]. For some particular value of k. What value of k will guarantee that g(x)=120 at the maximum point of the graph"
I'm honestly completely confused on how to solve this.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=kx%28x-200%29;

g%28x%29=120=kx%28x-200%29, and you want this for x at the vertex of g(x).

Where is g(x) equal to zero?
kx%28x-200%29=0
x%28x-200%29=0%2Fk=0
x=0 or x=200, and the vertex will be at the x value in the MIDDLE of the two roots.
Vertex is at highlight%28x=100%29.

Can you decide what to do next?