Answer:
x=-1
Step-by-step explanation:
Consider parent function [tex]y=\log_5x.[/tex] The graph of this function has vertical asymptote [tex]x=0.[/tex]
The graph of the function [tex]f(x)=\log_5(x+1)-3[/tex] can be obtained from the graph of the parent function by translation 1 unit to the left and 3 units down. This means that vertical asymptote is also transleted 1 unit to the left and 3 units down. Translating the vertical line [tex]x=0[/tex] 1 unit to the left and 3 units down you will get the line [tex]x=-1.[/tex]
Answer:
x=-1
Step-by-step explanation:
The given equation is [tex]f(x)=2 log5(x+1)-3[/tex]
vertical asymptote is by finding the values that make the equation undefined so the above equation is satisfied when x= -1
There is no horizontal asymptote
The equation of the vertical assymptote of
[tex]f(x)=2 log5(x+1)-3[/tex]
⇒[tex]f(x)=2 log(5x+5)-3[/tex]
⇒[tex]y= log((5x+1)^2)-3[/tex]
