Consider the function .

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Consider the function f(x)=log⁡3 ⁣(x2−4x−5)f(x)=\log_{3}\!\left(\dfrac{x^{2}-4}{x-5}\right). (i) Determine the set of real numbers for which the argument of the logarithm is positive. (ii) Hence write the domain of ff in interval notation.

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