Question

If the inverse of f, f−1 = {(x,y): y=x⁴, and x≤0 }, then f could be represented by

( A ) f = {(x,y): y= ⁴√(−x), and x≤0 }
( B )f = {(x,y): y=−1/x⁴, and x<0 }
( C )f = {(x,y): y=−⁴√x, and x≥0 }
( D )f{(x,y): y=−⁴√(−x), and x≤0 }
( E ) None of the above

Answer 1

First guess is to assume that the inverse of x^4 is ∜x.

But recall that ∜z is only defined for z ≥ 0
So, ...