JamaicaF648463 JamaicaF648463

03-11-2022
Mathematics

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If ƒ (7) = 22, thenf-¹(f(7)) = [?]

Respuesta :

YohanF173519 YohanF173519

03-11-2022

Remember the following property of invertible functions:

[tex]f(x)=y\qquad\Leftrightarrow\quad f^{-1}(y)=x[/tex]

Then:

[tex]f^{-1}(f(x))=x\qquad\forall x[/tex]

Then:

[tex]f^{-1}(f(7))=7[/tex]

Therefore, the answer is: 7.

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