You should recognize that f(x) is the equation of a semi-circle with radius 5 and center at the origin.
The parent function, y = logx, has an open domain of 0 < x > ∞.
Factor the denominator. Remember, that the domain cannot support zeros in the denominator.
The numerator and denominator will be restrictedin different ways. Combine both restrictions.
Domain: x > −2, x ≠ 2