Mathematics

Mathematics

Problem

For f(x)=x2−1x+2f(x)=\dfrac{x^{2}-1}{x+2}, a tangent line drawn at x=cx=c passes through the point (0,−1)(0,-1) with c>0c>0. What is the value of cc? a) 11 b) 1+31+\sqrt{3} c) 3−1\sqrt{3}-1 d) −2-2

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