On the same axes, sketch the graphs of $y=2+{{\mathrm{e}}^{-{{x}^{2}}}}$ and $y=\left| \ln \left( x-

Question

On the same axes, sketch the graphs of $y=2+{{\mathrm{e}}^{-{{x}^{2}}}}$ and $y=\left| \ln \left( x-1 \right) \right|$. Label clearly the equations of any asymptotes and any points of intersection with the axes. [4] Hence solve the inequality $2+{{\mathrm{e}}^{-{{x}^{2}}}}\le \left| \ln \left( x-1 \right) \right|$. [2]

Accepted Answer

$1<x\le1.10$ or $x\ge8.39$, correct to $3$ significant figures

2022 MI P1 Q1

2022 MI P1 Q1

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