Find the equation of tangent and normal to the curve \( f(x)=\left[\begin{array}{clc}x-2 & \text...

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Find the equation of tangent and normal to the curve \( f(x)=\left[\begin{array}{clc}x-2 & \text { if } & x1 \\ x^{2}-x-1 & \text { if } & x \geq 1\end{array}\right. \) at \( x=1 \) if it exists. \( (f \) is continuous and differentiable at \( x=1 \) and \( f(1)=1) \)
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