Question

What is the domain of the function f(x) = log (
1x + 12)

Answer 1

The domain is all of the x values exhibited in a function.

To start, what is the general domain of a logarithmic function? Can it be negative?

Answer 2

yes it can

Answer 3

are you sure? Look up a log function. Are there any negative X values?

Answer 4

We're only going to look at the X values here - you can ignore the Y's.

Answer 5

no negatives

Answer 6

ok. So right away we know that at most it's going to be a 0-infinity range.

Are there any other values that won't exist?

and will it be inclusive or exclusive at the limits?

Answer 7

additionally : because of the (X+12), the domain will shift a little bit. We'll look at that in a bit.