Question

Determine the domain, range, and vertical asymptote f(x)=log(5)(x+4)

CAN SOME ONE PLEASE HELP????????

Answer 1

Is that \[f(x)=log_5{(x+4)}\]?

Answer 2

yes

Answer 3

Okay we know that we can't take the log(0) because it is undefined.

So the value for x where this occurs is our vertical asymptote.

x+4=0
x=-4

->vertical asymptote occurs at -4

Now since we also can't have a log(-x) . The x values have to be greater that -4.

\[Domain: x \in \mathbb{R}:x > -4\]

The range can be all real numbers (R).

\[Range: \mathbb{R}\]