Question

f(x) = ln(8 − x). Find the range.

Answer 1

I'm not too sure but as x goes infinitely high it would make inside the bracket infinitely negative which is undefined and the opposite happens when x goes infinitely negative

Answer 2

so is it − infinity< y < infinity ?

Answer 3

Yep. The domain of a log function are those values of x that make the argument strictly positive. Since the argument (8-x) can be any positive number, the range is the set of all real numbers.

Answer 4

Correct, which makes the argument of the ln function (8-x) any positive number.