### Home > CALC > Chapter 1 > Lesson 1.3.2 > Problem 1-114

1-114.

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* = log*x*, 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