On comparing the function, option (B) g(x) is shifted 5 units right and 2 units up from f(x) is the correct answer.
What is graph of a function?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The functions are f(x)=1/x and g(x)=1/(x-5) +2.
Plot the functions f(x) and g(x) on the graph as shown below.
The graph of g(x)=1/(x-5) +2 compared to the graph of the parent function f(x)=1/x.
From the graph, the function g(x) is shifted 5 units right and 2 units up from f(x).
Hence we can conclude that on comparing the function, option (B) g(x) is shifted 5 units right and 2 units up from f(x) is the correct answer.
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