Question

Find the domain
f(z)=1/fourth root of x

Answer 1

\[f(z)=1/\sqrt[4]{x}\]

Answer 2

what does x have to be ?
well it needs to not be negative because of the 4th root, and it should not be 0 because then you would be dividing by 0. So x cant be negative and cant be 0, so x>0

Answer 3

I get that but it says f(z) not f(x) so does that not matter @zzr0ck3r

Answer 4

it must be a typo?

Answer 5

that notation does not make sense unless they told you what the form of x. If the function is defined as it is, then it is assumed that x is positive. Thus if z is the variable, we have f(z) = a number, so the domain would be all real numbers, but I have never seen notation this ambiguous and I think it is a typo.

Answer 6

ok that's what i thought too