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

Question

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

wilsondanielle · Answer

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?

clarissa.pitre12 · Answer

yes it can

wilsondanielle · Answer

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

wilsondanielle · Answer

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

clarissa.pitre12 · Answer

no negatives

wilsondanielle · Answer

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?

wilsondanielle · Answer

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