Respuesta :

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x-16}[/tex]

Step-by-step explanation:

The given equation is [tex]y=x^2+16[/tex]

Interchange the positions of x and y

[tex]x=y^2+16[/tex]

Now, solve this equation for y. That would be the inverse of this function.

Subtract 16 to both sides of the equation

[tex]x-16=y^2[/tex]

Take square root both sides

[tex]y=\pm\sqrt{x-16}[/tex]

This is the inverse of the given function.

[tex]f^{-1}(x)=\pm\sqrt{x-16}[/tex]

Answer:

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Step-by-step explanation:

i read the answer above