Question

How do you find the domain and range of `f(x) = sqrt{Inx}`?

Answer 1

There is no x-intercept. Range `:f > 0`. Domain : `x > 1`. See the illustrative graph.

Explanation:

To make f real, `x > 1`.

As `x to 1_+, f to 0` and as `x to oo, y to oo`.

graph{sqrt( ln x) [-10, 10, -5, 5]}