Pure Mathematics
Statistics

Worked Example 1

Function [latex]\text{f}[/latex] is defined by [latex]\text{f}:x\mapsto {{x}^{2}}+2x+3,x\le -1[/latex]. Show that [latex]{{\text{f}}^{-1}}[/latex]exists. Hence, find [latex]{{\text{f}}^{-1}}[/latex], stating its domain and range.

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