For the function

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

For the function y(x)=ln⁡∣x+4x−1∣y(x)=\ln\left|\dfrac{x+4}{x-1}\right|, which satisfies y(2)=ln⁡6y(2)=\ln 6, determine the maximal open interval containing x=2x=2 on which the function is defined.

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