Domain of a function?

Question

The domain of the logarithmic function is:

a) x is a set of real numbers
b) x<0, x is a set of real numbers
c) x>0, x is a set of real numbers
d) x>1, x is a set of real numbers

Answer 1

c. x > 0
That's the answer that will be the 'correct' answer. But, further on down the road, you'll find that by allowing the domain (and range) of the logarithmic function to include the complex values, negative numbers *do* have logs.

HTH ☺

Doug

Answer 2

On the real line, the logarithmic function is defined for x >0. So, the correct answer is (0, oo) = {x in R | x >0}. It would be option (c), but it's stated wrong, x is not a set, but a number

Answer 3

c) the domain of the logarithmic function is the set of positive real numbers, and the range is R.It is one-to-one, and is an inverse function.

Answer 4

a)

The domain of a function are the x's of the function.