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given that the point is on the graph of , there is one point that must be on the graph of . what is the sum of coordinates of that point?

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Since the point (9, 7) is on the graph of y = f(x), the sum of coordinates of that point is 29/4 or 7.25.

In Mathematics and Geometry, a function defines and represents the unique relationship that exists between two or more variables in a relation, table, ordered pair, or graph.

Since the point (9, 7) is on the graph of the function, f(x), and the value of x equals 9/2, we have the following;

f(2·x) = f(2 × 9/2)

f(2·x) = f(9)

f(2·x) = 7

2·y = (f(2·x)/2) + 2

2y = (7/2) + 2)

2y = 5.5 or 11/2

y = 5.5/2 or (11/2)/2

y = 2.75 or 11/4

Therefore, the coordinates (x, y) of the point are (11/4, 9/2)

Now, we can determine the sum of the coordinates of the point as follows;

Sum = 11/4 + 9/2

Sum = 29/4 or 7.25

Complete Question:
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?

User Manish Jesani
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