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I need an in-depth explanation on how to solve these and why they are that way.

I need an in-depth explanation on how to solve these and why they are that way.-example-1
User Pollyanna
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1 Answer

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Q9.

Every one to one function has an inverse.

The graph of an inverse function can be found from mirroring the original graph around the line y = x. That means:

The domain of the inverse f⁻¹(x) is the range of f(x), and,

The range of the inverse f⁻¹(x) is the domain of f(x).

So, if a one to one function has a vertical asymptote of x = 7; the inverse will have a horizontal asymptote at y = 7.

The vertical asymptote of the original function is the horizontal asymptote of the inverses function, and viceversa.

User Bon Andre Opina
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