Given f(x)=x+1; g(x)=√x-2; h(x)=2/x Perform the indicated operations and supply the domain and range of the resulting function: h^-1



Asked on

1 Answer | Add Yours

rcmath's profile pic

Posted on (Answer #1)

To find the inverse function we write y=2/x and solve for x.


Hence the inverse function is `h^(-1)(x)=2/x`

The domain is D=`(-oo,0)U(0,oo)`

The function can never be equal zero, so R=`(-oo,0)U(0,oo)`

The following graph help explain why the function and its inverse are the same.





We’ve answered 287,851 questions. We can answer yours, too.

Ask a question