Respuesta :

Given

[tex]\sqrt{x^2-1}[/tex]

Find

domain and range of function and its inverse

Explanation

Domain =

[tex]x\leq-1\text{ or x}\ge1[/tex]

Range=

[tex]y\ge0[/tex]

Domain of inverse = R

Range =

[tex]y\ge1[/tex]

Final Answer

Domain and range of inverse function

[tex]\begin{gathered} R \\ y\ge1 \end{gathered}[/tex]

Domain and range of function

[tex]\begin{gathered} x\leq-1\text{ or x}\ge1 \\ y\ge0 \end{gathered}[/tex]

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