Let be a real parameter

MATHEMATICS · Subjective · US High School · Algebra 2 · Complex #s & Exponents · Complex #s & Exponents

Problem

Let aa be a real parameter. For the function fa(x)=ax−1x2−af_a(x)=\dfrac{\sqrt{ax-1}}{x^{2}-a} to be defined for at least one real xx, determine all possible values of aa.

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