Consider the function g(x)= 3x x^2+2(k-1)x+k^2-1

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the function g(x)=3xx2+2(k−1)x+k2−1.g(x)=\frac{3x}{x^2+2(k-1)x+k^2-1}. Determine the value of kk for which g(x)g(x) is undefined at exactly one real value of xx.

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