Q:

Which graph represents the function f(x)= 1/x - 1PLEASE ANSWER FAST IM TIMED

Accepted Solution

A:
Answer:Figure 2Step-by-step explanation:We are given the function [tex]f(x)=\frac{1}{x-1}[/tex].Now, when x = 1, we have that,[tex]f(x)=\frac{1}{1-1}[/tex] i.e. [tex]f(x)=\frac{1}{0}[/tex] i.e. [tex]f(x)\rightarrow\infty[/tex].Also, when x = -1, we have that,[tex]f(x)=\frac{1}{-1-1}[/tex] i.e. [tex]f(x)=\frac{1}{-2}[/tex].Further, when f(x) = -1, we have that,[tex]-1=\frac{1}{x-1}[/tex] i.e. [tex]-x+1=1[/tex] i.e. [tex]x=0[/tex].So, it is clear from the given options that the second figure is the correct graph of the function [tex]f(x)=\frac{1}{x-1}[/tex].Hence, figure 2 is the correct option.