Question

How do I get the domain and range for f(x)=logbase4(x+2)

Answer 1

In a logarithm, you always must have the input \(> 0.\)

So \(x+2 > 0\).

That would get you the domain.

Answer 2

As for the range, I'd give you a hint:

You can raise 4 to any power you want.

Answer 3

Thank You!

Answer 4

does it have any asymptotes?

Answer 5

As the input of a logarithm approaches zero, its output approaches \(-\infty\).