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