SOLUTION: determine the domain of f(x)=log_2(x-2). How is the graph of f(x)=log_2(x-2) related to g(x)=log_2(x)? Plot them on the same coordinate set.

Algebra ->  Graphs -> SOLUTION: determine the domain of f(x)=log_2(x-2). How is the graph of f(x)=log_2(x-2) related to g(x)=log_2(x)? Plot them on the same coordinate set.      Log On


   



Question 607149: determine the domain of f(x)=log_2(x-2). How is the graph of f(x)=log_2(x-2) related to g(x)=log_2(x)? Plot them on the same coordinate set.
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determine the domain of f(x)=log_2(x-2). How is the graph of f(x)=log_2(x-2) related to g(x)=log_2(x)?
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f(x)=log2(x-2)
domain: (2,∞)
..
Compared to log2(x), log2(x-2) moves the curve 2 units to the right, that is, the x-intercept is moved from (0,1) to (0,3) and the asymptote from the y-axis to x=2.