Question

What is the domain and range of `f(x) = ln (10-x)`?

Answer 1

Domain `(-oo,10)` Range `(-oo,oo)`

Explanation:

Since Ln of a negative number has no meaning, the maximum value that x can have is any number less than 10. At `x=10`, the function becomes undefined. and the minimum value can be any negative number up to `-oo`. At `x=10` there would be a vertical asymptote.

Hence domain would be `(-oo, 10)`

The range would be `(-oo,oo)`