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Answer:
Option D x=4
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{x-3}+1[/tex]
[tex]g(x)=2\sqrt{x-3}[/tex]
Solve the system by graphing
Remember that the solution of the system of equations (f(x)=g(x)) is the x-coordinate of the intersection point both graphs
The intersection point is (4,2)
therefore
x=4
see the attached figure