Question

How do you find the domain and range of `y = log (x - 2) + 1`?

Answer 1

See below.

Explanation:

`y = log(x-2)+1`

The logarithm of zero or a negative number is undefined, so `x` must be greater than `2`.

The domain is `x>2`.

The value of a logarithm can be any real number, so the range is all real numbers.