Domain and Range of an Inverse Function f^-1(x) = (x/11)^(1/5)

[BigNate]

Hello Everyone,

I'm struggling to understand how to determine the domain and range of an inverse function.

If f(x)= 11x^5, then I know f^-1(x) = (x/11)^(1/5). I understand how to find the inverse.

I'm reading through my textbook and online explanations and am still struggling to figure out how to determine domain and range. I see in the answer key that this has a domain and range of +/-infinity. Can someone please explain this to me?

Thanks in advance for your help and time!

 

[stapel]

I'm struggling to understand how to determine the domain and range of an inverse function.

If f(x)= 11x^5, then I know f^-1(x) = (x/11)^(1/5). I understand how to find the inverse.

What is the domain of the original function? That will be the range of the inverse function.

What is the range of the original function? That will be the domain of the inverse function.

The swapping of domain and range is one of the properties of inverse functions.

 

[BigNate]

Thank you!