The function of g(x) is 1/(x-2) + 7, which is correct answer would be option (D).
What is a graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
x-2 because subtracting 2 to the x coordinate would shift it over 2
y+7 because adding 7 to the y coordinate would shift it up 7
The graph of the reciprocal parent function, f(x) = 1/x , shifted 7 units up and 2 units to the right to create the graph of g(x)
Given function of f(x) = 1/x
g(f(x)) = ( x-2, y+7 )
So g(x) = 1/(x-2) + 7
Hence,function of g(x) is 1/(x-2) + 7
Learn more about graphs here :
brainly.com/question/16608196
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