`g(x)=log_6(x-4)+2` Graph the function. State the domain and range.

We are asked to graph the function `y=log_6(x-4)+2 ` :

The graph is a translation of the graph of `y=log_6x ` 4 units right and 2 units up.

The domain is x>4 and the range is all real numbers. There is a vertical asymptote at x=4 and the funciton is increasing and concave down on its domain.

Some points on the graph: (145/36,0),(25/6,1),(5,2),(10,3)

The graph:

Comments

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