Given f(x)=log⁡(x^2 - 12x - 44), find all interval(s) of x values such that f(x) greater than 0

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A problem similar to a final exam question(problem 5 dubiously called a domain problem) given in 1969 by Kaj L. Nielsen in an algebra textbook dedicated to Cheryl(presumably his wife or daughter)
Logarithm of a quadratic function yields a disjunctive inequality solution set based on given condition that function takes on only positive values.(LearnZillion Education Platform produced content regarding common core conjunctive inequalities) Important fact is an unshifted logarithm function is strictly greater than zero if and only if the input to the function is greater than 1. Solution is written as the union of interval notation symbols(parentheses or square brackets).
The University of Illinois Mathematics PHD intended his work to be of the ilk self-tutor satisfying the needs of the majority of students. Philippine education student Flordeluna was asked the overly broad question "How do you define education?" Her professor Cruz should be more specific as the posed question is akin to asking how one defines LIFE?!?
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