Question

Given y=log3(x+4) what is the domain

Answer 1

as you know, the domain is the values "x" can safely take on.

well, for a logarithmic expression, it can never have an expression of 0, namely in this case, x + 4 must never be 0, since such a logarithm doesn't exist.

now, x + 4 = 0 ---> x = -4.

thus if "x" ever becomes -4, we'd end up with log₃(-4+4), or log₃(0), which is a no dice.

so the domain is all values except -4.

Answer 2

Given y = log3(x + 4), what is the domain?

A. x>-4

What is the range?

C. All real numbers

hope this helps! :o)