For what value(s) of x, it is not possible to graph the function f(x)=log(x-1)? Explain your reasoning with the help of a graph.

Question

After examining the graphs of several logarithmic functions, you should see that there are restrictions on the input values for logarithmic functions. For what value(s) of x, it is not possible to graph the function f(x)=log(x-1)? Explain your reasoning with the help of a graph

Answer 1

f(x) = logx has no x values possible for x<0

f(x)=log(x-1) shifts the graph to the right by 1 unit

this function has no x values for x< 1

graphically x=1 is a vertical asymptote, with x > 1

domain is (1, infinity), range is all real numbers