Given that the point (9,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y=(f(2x)/2) + 2. What is the sum of coordinates of that point?

Answer:

Step-by-step explanation:

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The graphical function representation of a function, represents the mapping of the domain of the function to the range of the function

The sum of the coordinates of the point is 7.25

The reason the above values are correct is as follows;

The given parameter is;

The point (9, 7) is on the graph y = f(x)

Required:

A point on the graph, 2·y = (f(2·x)/2) + 2

Solution:

Let x = 9/2, given that (9, 7), is on the graph, f(x), we get;

f(2·x) = f(2 × 9/2) = f(9) = 7

Therefore;

2·y = (f(2·x)/2) + 2 = (7/2) + 2) = 5.5

y = 5.5/2 = 2.75

y = 2.75

The coordinate of the point is (x, y) = (2.75, 9/2)

The sum of the coordinates of the point is 2.75 + 9/2 = 7.25

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