SOLUTION: 3. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"? I just dont get this

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"? I just dont get this      Log On


   

Question 199693: 3. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
I just dont get this
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
An asymptote+is a curve that+y%28x%29 approaches, but does+notcross, as either y+or x goes to infinity.


Your+f%28x%29 has no+asymptote. The function+f%28x%29 is identically equal to the line f%28x%29+=+4x everywhere.


Your g%28x%29+has an asymptote at x=0%2C because log%285x%29 goes to infinity as x goes to zero. The graph of g%28x%29+does+not cross the line x=0, but approaches it as closely as you might like.