If the point P is on the graph of a function f, find the corresponding point on the graph of the given function.

P(4,9) y=1/3f(1/2x)-1

If the point (6,3) is on the graph of some function y=f(x), how can you find the coordinates of the corresponding point on the graph of the transformed function g(x)=f(2x)−5?

To find the corresponding point on the graph of the given function, we need to substitute the coordinates of P into the function and evaluate.

Given that P(4, 9) and the function is y = (1/3)f(1/2x) - 1, we substitute x = 4 into the function:

y = (1/3)f(1/2 * 4) - 1

First, we calculate 1/2 * 4:
1/2 * 4 = 2

Next, we substitute 2 into the function:
y = (1/3)f(2) - 1

Now, we need the value of f(2). The function f is not given, so we don't have enough information to determine its value. To find the corresponding point on the graph of the given function, we need to know the function f. Once we have that information, we can evaluate f(2), substitute the value into the equation, and find the corresponding point.