Question

Let f : R⁺ → R, where R⁺ is the set of all positive real numbers, such that f(x) = log_e x. Determine

(a) the image set of the domain of f

Answer 1

Given:
f : R⁺ → R
and f (x) = log_ex .............(i)

(a) f : R⁺ → R
Thus, the image set of the domain f = R .